What is the factored form of x2 – 7x + 12?

A. (x - 5)(x – 3)
B. (x - 6)(x - 1)
C. (x - 5)(x - 2)
D. (x – 4)(x - 3)

D

Step-by-step explanation:

Given

x² - 7x + 12

Consider the factors of the constant term (+ 12) which sum to give the coefficient of the x- term (- 7)

The factors are - 4 and - 3, since

- 4 × - 3 = + 12 and - 4 - 3 = - 7, thus

x² - 7x + 12 = (x - 4)(x - 3) ← in factored form → D

step-by-step explanation:

if you meant, "on the way from (3, 2) to (3, 14):

x does not change; y increases by 12.

ensure that you have copied down this problem correctly.   .