Question

Factor this trinomial.

x2 – 8x + 15

A. (x – 1)(x – 15)
B. (x – 3)(x + 5)
C. (x – 3)(x – 5)
D. (x – 1)(x + 15)

Answer 1

C. (x - 3)(x - 5)

Explanation:

Consider the form x² + bx + c. Find the a pair of integers whose product is c and whose sum is b. In this case, whose product is 15 and whose sum is -8.

-5, -3

write the factored formusing these integers,

(x - 3)(x - 5)

Answer 2

C

Explanation:

If you were to factor the equation out you would get

(x-5x)(15-3)

Simplify it to

x(1-5) -3(-5-1)

Where you would then get

(x-3)(x-5)

Use FOIL to check answer