Recent questions tagged cubic

665
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Calculate the roots of the cubic equation \(x^3-8=0\), show all working. Use latex.
739
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What is a cubic equation? give an example and use latex.
647
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Prove that the roots of a polynomial with real coefficients are either real or come in conjugate pairs.
122
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Solve $4x^2 + 3x - 2 0$
95
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$x^2 - 3x + 2 \leq 0$
259
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$x^3 + x^2 - 3x + 2 = 0$ solve for $x$
440
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Solve the cubic equation $x^3 - 2x^2 + 5x - 7 = 0$
510
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Solve for $x$ in $x^3 + 3x^2 - 2x - 5 = 0$
87
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Solve $x^3 + 2x^2 + 3x + 4 = 0$
325
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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.
604
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Let \(A\) be the set of cubic polynomials \(f(x)\) with the leading coefficient 1 having the following property: There exist a prime number \(p\) not dividing 2004 and a ...
852
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If sum of coefficients in \(({x}-2 {y}+3 {z})^{{n}}\) is 128 then greatest coefficient in \((1+x)^{n}\) is
361
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Find the cubic polynomial, in \(x\), with integer coefficients that has \(\cos 20^{\circ}\) as a root. The coefficient of \(x^{3}\) should be positive, and the coefficien...
705
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How do I determine binomial coefficients?
298
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Determine\[D_{x}\left(\frac{x^{3}+3 x^{2}+6 x+8}{x+2}\right)\]
299
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Factorize and solve the cubic function $x^{3}-9 x^{2}+26 x-24=0$
328
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Factorize and solve $x^{3}-3 x^{2}-10 x+24=0$
911
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Find a cubic polynomial whose graph has horizontal tangents at $(-2,5)$ and $(2,3)$.
402
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Simplify $8^{\frac{2}{3}}$ without using a calculator.
437
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Determine the intervals of the domain for which the following function is decreasing.
513
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Let $S(x)$ be the natural cubic spline over the interval $\left[x_{0}, x_{n}\right]$ determined by the knots $\left\{\left(x_{0}, y_{0}\right),\left(x_{1}, y_{1}\right), ...
472
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Determine the natural cubic spline through the points $\{(0,-1),(1,0),(2,2),(3,0),(4,-2)\}$. Give the cubic polynomial for the spline on each of the intervals $\{[0,1],[1...
330
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1 answers
Factorise $a^3-c^3$
630
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Factorise $a^3+b^3$
368
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1 answers
Factorise $a^3-b^3$
313
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Solve $x^3 -1 =0$
497
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How do I explain what a cubic metre is?
688
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SImplify $8^{\frac{1}{3}}$ without using a calculator
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