2 years ago

I need help. how do i completely factor 6x^2+7x+2 with an explanation?

Mathematics

1 answer:

AnnZ [28]2 years ago

6 0

Answer:

(2x + 1)(3x + 2)

Step-by-step explanation:

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 = 6 × 2 = 12 and sum = 7

The factors are + 3 and + 4

Use these factors to split the x- term

= 6x² + 3x + 4x + 2 ( factor the first/second and third/fourth terms )

= 3x(2x + 1) + 2(2x + 1) ← factor out (2x + 1) from each term

= (2x + 1)(3x + 2) ← in factored form

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