Find the missing factor.

8x2 - 15x + 7 = (8x - 7) (

)

(x - 1)

Step-by-step explanation:

Given

8x² - 15x + 7

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 = 8 * 7 = 56 and sum = - 15

The factors are - 8 and - 7

Use these factors to split the x - term

8x² - 8x - 7x + 7 (factor the first/second and third/fourth terms)

= 8x (x - 1) - 7 (x - 1) ← factor out (x - 1) from each term

= (x - 1) (8x - 7) ← in factored form

The missing factor is (x - 1)