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Factor 3y2 + 29y − 10.

User Wanton
by
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1 Answer

6 votes

Answer:

(y + 10)(3y - 1)

Explanation:

3y² + 29y - 10

consider the factors of the product of the coefficient of the y² term and the constant term which sum to give the coefficient of the y- term.

product = 3 × - 10 = - 30 and sum = + 29

the factors are + 30 and - 1

use these factors to split the y- term

3y² + 30y - y - 10 ( factor first/second and third/fourth terms )

= 3y(y + 10) - 1 (y + 10) ← factor out (y + 10) from each term

= (y + 10)(3y - 1)

3y² + 29y - 10 = (y + 10)(3y - 1) ← in factored form

User Matt Pi
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