## Factor the following polynomial 9×2 + 21x – 18

Question

Factor the following polynomial 9×2 + 21x – 18

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Mathematics
3 days
2021-07-21T23:21:05+00:00
2021-07-21T23:21:05+00:00 2 Answers
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## Answers ( )

Answer:factors are

21 and x

Step-by-step explanation:equation 9 × 2 + 21x – 18

terms 9 , 2, 21x, -18

factors 21x = 21 and x

Answer:3(x + 3)(3x – 2)

Step-by-step explanation:Given

9x² + 21x – 18 ← factor out 3 from each term

= 3(3x² + 7x – 6) ← factor the quadratic

Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term

product = 3 × – 6 = – 18 and sum = + 7

The factors are + 9 and – 2

Use these factors to split the x- term

3x² + 9x – 2x – 6 ( factor first/second and third/fourth terms )

3x(x + 3) – 2(x + 3) ← factor out (x + 3) from each term

(x + 3)(3x – 2)

Then

9x² + 21x – 18 = 3(x + 3)(3x – 2) ← in factored form