Question

Consider the trinomial x2 – 9x + 18. Which pair of numbers has a product of ac and a sum of b? What is the factored form of the trinomial?

Answer 1

Answer in picture

Explanation:

Answer 2

(x-6)*(x-3)

Explanation:

a*c

1*18=18

Factors of 18 are:

1, 2, 3, 6, 9, 18

The equation has +18 meaning both signs must be the same; - - or + +

The only two factors that work are -3 and -6

The factored form will be (x-6)*(x-3)

Check with FOIL method.