Question

Which of the binomials below is a factor of this trinomial? x2 + 5x + 6

Answer 1

Answer: x+3

Step-by-step explanation:

Answer 2

Factor out the trinomial. Find factors of x² and 6 that would, when added, give you 5x

x² = x * x

6 = 3 * 2

(x + 3)(x + 2) are your binomials.

To solve for x, set each parenthesis = 0

x + 3 = 0

x + 3 (-3) = 0 (-3)

x = -3

x + 2 = 0

x + 2 (-2) = 0 (-2)

x = -2

x = -3, -2

hope this helps