I need help with this! Factor Quadratic equation. 10g^2+9g+2

(2g + 1)(5g + 2)

Step-by-step explanation:

Given

10g² + 9g + 2

Consider the factors of the product of the g² term and the constant term which sum to give the coefficient of the g- term.

product = 10 × 2 = 20 and sum = 9

The factors are + 5 and + 4

Use these factors to split the g- term

10g² + 5g + 4g + 2 ( factor the first/second and third/fourth terms )

= 5g(2g + 1) + 2(2g + 1) ← factor out (2g + 1) from each term

= (2g + 1)(5g + 2) ← in factored form

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