Question

Factor completely and then place the factors in the proper location on the grid.

Answer 1

Answer:

(y - 1)(5y + 3)

Step-by-step explanation:

5y² - 2y - 3

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 = 5 × - 3 = - 15 and sum = - 2

The factors are - 5 and + 3

Use these factors to split the y- term

5y² - 5y + 3y - 3 ( factor the first/second and third/fourth terms )

5y(y - 1) + 3(y - 1) ← factor out (y - 1) from each term

(y - 1)(5y + 3) ← in factored form