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How can I factorise quadratic algebraic expressions?
in Mathematics by Platinum (93,243 points) | 19 views

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To factorize quadratic algebraic expressions, follow these steps:1. Write the expression in the form ax² + bx + c, where a, b, and c are constants.2. Find two numbers that multiply to give a × c and add up to give b. Let's call these numbers p and q.3. Rewrite the expression as ax² + px + qx + c.4. Group the first two terms together and the last two terms together, and factor out the common factor from each group.5. Rewrite the expression as (ax + p)(x + q).6. Check your answer by multiplying out the two factors to see if you get back the original expression.For example, let's factorize the expression 2x² + 7x + 3.1. The expression is already in the form ax² + bx + c, where a = 2, b = 7, and c = 3.2. We need to find two numbers that multiply to give 2 × 3 = 6 and add up to give 7. These numbers are 6 and 1.3. Rewrite the expression as 2x² + 6x + x + 3.4. Group the
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