Question

Which of the binomials below is a factor of this trinomial? X2 + 5x + 6 A. x2 +6 B. X-6 C. X+6 D. x+ 3

Answer 1

D) x+3

Examining the trinomial

x² +5x +6

2) Let's factor out, since a = 1, asking which 2 numbers whose sum is 5 and whose product is 6?

S = 2 +3 = 5

P = 2 x 3 = 6

Then we can rewrite it:

x² +5x +6 = (x+2)(x+3)

3) Examining the options the answer is: D, x+3