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Annabelle Mullen
Mathematics
25 June, 08:33
Factor completely. 5x^2+44x-9
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Andre Jensen
25 June, 08:52
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(x + 9) (5x - 1)
Step-by-step explanation:
Given
5x² + 44x - 9
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x - term.
product = 5 * - 9 = - 45 and sum = + 44
The factors are + 45 and - 1
Use these factors to split the x - term
5x² + 45x - x - 9 (factor the first/second and third/fourth terms)
= 5x (x + 9) - 1 (x + 9) ← factor out (x + 9) from each term
= (x + 9) (5x - 1) ← in factored form
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