Find the missing factor. 5y^2+4y-1 = (5y-1) ()

(y + 1)

Step-by-step explanation:

Given

5y² + 4y - 1

Consider the factors of the product of the y² term and the y - term which sum to give the coefficient of the y - term

product = 5 * - 1 = - 5 and sum = + 4

The factors are + 5 and - 1

Use these factors to split the y - term

5y² + 5y - y - 1 (factor the first/second and third/fourth terms)

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

= (y + 1) (5y - 1)

The missing factor is (y + 1)

(5y-1) (y+1)