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)