Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /home/customer/www/mathsgee.com/public_html/qa-include/qa-base.php on line 722

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /home/customer/www/mathsgee.com/public_html/qa-include/qa-base.php on line 722

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /home/customer/www/mathsgee.com/public_html/qa-include/qa-db.php on line 556

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /home/customer/www/mathsgee.com/public_html/qa-include/qa-base.php on line 722

Warning: session_start(): Session cannot be started after headers have already been sent in /home/customer/www/mathsgee.com/public_html/qa-include/app/users.php on line 162

Deprecated: substr(): Passing null to parameter #1 ($string) of type string is deprecated in /home/customer/www/mathsgee.com/public_html/qa-include/pages/question.php on line 185

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /home/customer/www/mathsgee.com/public_html/qa-include/pages/question.php on line 198

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /home/customer/www/mathsgee.com/public_html/qa-include/app/users.php on line 1277

Warning: Cannot modify header information - headers already sent by (output started at /home/customer/www/mathsgee.com/public_html/qa-include/qa-base.php:722) in /home/customer/www/mathsgee.com/public_html/qa-include/app/users.php on line 1282

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /home/customer/www/mathsgee.com/public_html/qa-include/pages/question-view.php on line 473

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /home/customer/www/mathsgee.com/public_html/qa-include/qa-base.php on line 722

Warning: Cannot modify header information - headers already sent by (output started at /home/customer/www/mathsgee.com/public_html/qa-include/qa-base.php:722) in /home/customer/www/mathsgee.com/public_html/qa-include/app/page.php on line 356
Let \(f(x)\) be a cubic polynomial with rational coefficients. Prove that if the graph of \(f\) is tangent to the \(x\)-axis, then all roots of \(f(x)\) are rational. - MathsGee Science Technology & Innovation Forum
Learning begins with a question

*Math Image Search only works best with zoomed in and well cropped math screenshots. Check DEMO

32 views
Let \(f(x)\) be a cubic polynomial with rational coefficients. Prove that if the graph of \(f\) is tangent to the \(x\)-axis, then all roots of \(f(x)\) are rational.

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /home/customer/www/mathsgee.com/public_html/qa-include/qa-theme-base.php on line 160

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /home/customer/www/mathsgee.com/public_html/qa-include/qa-theme-base.php on line 162
in Mathematics by Platinum (138,598 points) | 32 views

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /home/customer/www/mathsgee.com/public_html/qa-include/qa-theme-base.php on line 935

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /home/customer/www/mathsgee.com/public_html/qa-include/qa-theme-base.php on line 935

Related questions


Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /home/customer/www/mathsgee.com/public_html/qa-include/app/format.php on line 576

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /home/customer/www/mathsgee.com/public_html/qa-include/app/format.php on line 576

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /home/customer/www/mathsgee.com/public_html/qa-include/app/format.php on line 576

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /home/customer/www/mathsgee.com/public_html/qa-include/app/format.php on line 576

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /home/customer/www/mathsgee.com/public_html/qa-include/app/format.php on line 576

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /home/customer/www/mathsgee.com/public_html/qa-include/app/format.php on line 576

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /home/customer/www/mathsgee.com/public_html/qa-include/app/format.php on line 576

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /home/customer/www/mathsgee.com/public_html/qa-include/app/format.php on line 576

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /home/customer/www/mathsgee.com/public_html/qa-include/app/format.php on line 576

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /home/customer/www/mathsgee.com/public_html/qa-include/app/format.php on line 576

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /home/customer/www/mathsgee.com/public_html/qa-include/app/format.php on line 576

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /home/customer/www/mathsgee.com/public_html/qa-include/app/format.php on line 576

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /home/customer/www/mathsgee.com/public_html/qa-include/app/format.php on line 576

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /home/customer/www/mathsgee.com/public_html/qa-include/app/format.php on line 576

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /home/customer/www/mathsgee.com/public_html/qa-include/app/format.php on line 576

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /home/customer/www/mathsgee.com/public_html/qa-include/qa-theme-base.php on line 935

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /home/customer/www/mathsgee.com/public_html/qa-include/qa-theme-base.php on line 935
1 answer
asked
Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /home/customer/www/mathsgee.com/public_html/qa-include/qa-theme-base.php on line 160

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /home/customer/www/mathsgee.com/public_html/qa-include/qa-theme-base.php on line 162
Jul 10 in Mathematics by Gauss Diamond (65,975 points) | 45 views
0 answers
asked
Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /home/customer/www/mathsgee.com/public_html/qa-include/qa-theme-base.php on line 160

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /home/customer/www/mathsgee.com/public_html/qa-include/qa-theme-base.php on line 162
Sep 23 in Mathematics by MathsGee Platinum (138,598 points) | 13 views
0 answers
asked
Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /home/customer/www/mathsgee.com/public_html/qa-include/qa-theme-base.php on line 160

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /home/customer/www/mathsgee.com/public_html/qa-include/qa-theme-base.php on line 162
Aug 15 in Mathematics by Gauss Diamond (65,975 points) | 28 views
0 answers
asked
Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /home/customer/www/mathsgee.com/public_html/qa-include/qa-theme-base.php on line 160

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /home/customer/www/mathsgee.com/public_html/qa-include/qa-theme-base.php on line 162
Sep 22 in Mathematics by MathsGee Platinum (138,598 points) | 18 views
0 answers
asked
Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /home/customer/www/mathsgee.com/public_html/qa-include/qa-theme-base.php on line 160

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /home/customer/www/mathsgee.com/public_html/qa-include/qa-theme-base.php on line 162
Aug 14, 2021 in Mathematics by MathsGee Platinum (138,598 points) | 168 views
0 answers
asked
Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /home/customer/www/mathsgee.com/public_html/qa-include/qa-theme-base.php on line 160

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /home/customer/www/mathsgee.com/public_html/qa-include/qa-theme-base.php on line 162
Sep 23 in Mathematics by MathsGee Platinum (138,598 points) | 4 views
0 answers
asked
Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /home/customer/www/mathsgee.com/public_html/qa-include/qa-theme-base.php on line 160

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /home/customer/www/mathsgee.com/public_html/qa-include/qa-theme-base.php on line 162
May 9, 2021 in Data Science & Statistics by Student SIlver Status (11,226 points) | 250 views
1 answer
asked
Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /home/customer/www/mathsgee.com/public_html/qa-include/qa-theme-base.php on line 160

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /home/customer/www/mathsgee.com/public_html/qa-include/qa-theme-base.php on line 162
Sep 23 in Mathematics by MathsGee Platinum (138,598 points) | 37 views
1 answer
asked
Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /home/customer/www/mathsgee.com/public_html/qa-include/qa-theme-base.php on line 160

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /home/customer/www/mathsgee.com/public_html/qa-include/qa-theme-base.php on line 162
Feb 20 in Mathematics by MathsGee Platinum (138,598 points) | 100 views
1 answer
asked
Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /home/customer/www/mathsgee.com/public_html/qa-include/qa-theme-base.php on line 160

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /home/customer/www/mathsgee.com/public_html/qa-include/qa-theme-base.php on line 162
May 10, 2021 in Mathematics by Gauss Diamond (65,975 points) | 471 views
1 answer
asked
Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /home/customer/www/mathsgee.com/public_html/qa-include/qa-theme-base.php on line 160

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /home/customer/www/mathsgee.com/public_html/qa-include/qa-theme-base.php on line 162
Jul 5 in Mathematics by Gauss Diamond (65,975 points) | 43 views
1 answer
asked
Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /home/customer/www/mathsgee.com/public_html/qa-include/qa-theme-base.php on line 160

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /home/customer/www/mathsgee.com/public_html/qa-include/qa-theme-base.php on line 162
Jul 5 in Mathematics by Gauss Diamond (65,975 points) | 36 views
0 answers
asked
Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /home/customer/www/mathsgee.com/public_html/qa-include/qa-theme-base.php on line 160

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /home/customer/www/mathsgee.com/public_html/qa-include/qa-theme-base.php on line 162
Sep 22 in Mathematics by MathsGee Platinum (138,598 points) | 7 views
0 answers
asked
Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /home/customer/www/mathsgee.com/public_html/qa-include/qa-theme-base.php on line 160

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /home/customer/www/mathsgee.com/public_html/qa-include/qa-theme-base.php on line 162
Jul 24, 2021 in Mathematics by MathsGee Platinum (138,598 points) | 179 views
1 answer
asked
Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /home/customer/www/mathsgee.com/public_html/qa-include/qa-theme-base.php on line 160

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /home/customer/www/mathsgee.com/public_html/qa-include/qa-theme-base.php on line 162
Jul 7 in Mathematics by MathsGee Platinum (138,598 points) | 29 views

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /home/customer/www/mathsgee.com/public_html/qa-include/qa-theme-base.php on line 935

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /home/customer/www/mathsgee.com/public_html/qa-include/qa-theme-base.php on line 935

Join the MathsGee Science Technology & Innovation Forum where you get study and financial support for success from our community. CONNECT - CONSULT - LEARN - FUNDRAISE


On the MathsGee Science Technology & Innovation Forum, you can:


1. Ask questions


2. Answer questions


3. Vote on Questions and Answers


4. Start a Fundraiser


5. Tip your favourite community member(s)


6. Create Live Video Tutorials (Paid/Free)


7. Join Live Video Tutorials (Paid/Free)


8. Earn points for participating



Posting on the MathsGee Science Technology & Innovation Forum


1. Remember the human


2. Behave like you would in real life


3. Look for the original source of content


4. Search for duplicates before posting


5. Read the community's rules




FORUM RULES


1. Answers to questions will be posted immediately after moderation


2. Questions will be queued for posting immediately after moderation


3. Depending on how many posts we receive, you could be waiting up to 24 hours for your post to appear. But, please be patient as posts will appear after they pass our moderation.




USEFUL LINKS


Web Analytics | SEO Reports | Social Proof Widgets | Startup Funding | USO


Subjects

MathsGee Android Q&A