Question

Which is a factor of x² - 11x + 24?

A.) x - 4
B.) x - 3
C.) x + 3
D.) x + 4
​

Answer 1

B. x - 3

Explanation:

I don't know if you're looking for both factor.

x² - 11x + 24

we have to think about what two number gives us 24 if we multiply and -11 if we add.

8 * 3

-8 * -3

4 * 6

-6 * -4

12 * 2

-12 * -2

if we check, only -8 * -3 gives us 24 and -11 so

(x - 8) (x-3)

x² - 3x - 8x + 24

x² - 11x + 24

the only one match with answer is x-3