Question

Which binomial is a factor of the quadratic trinomial x2 − 7x + 12? A. (x + 2) B. (x − 6) C. (x + 3) D. (x − 4)

Answer 1

D

Explanation:

To factor a quadratic you need to think about what adds up to the b coefficient (the number in front of b) and multiplies to the constant. 3 and 4 do these, but you also know that you have -7 instead of positive 7. A negative times a negative is equal to a positive, which you can do (x-3)(x-4) to equal your quadratic trinomial.