Question

Select the two binomials that are factors of this trinomial x^2+10x+16

Answer 1

Answer:

The correct options are A: x+8 and C: x+2.

Step-by-step explanation:

We are given the following expression and we are to factorize it:

$x^2+10x+16$

We are to find such factors that when multiplied they give a result of 16 (1 x 16 = 16) and when added they give a result of 10.

The two such factors of 16 are positive 2 and positive 8.

Factorizing the given expression to get:

$x^2+10+16\\\\x^2+2x+8x+16\\\\x(x+2)+8(x+2)\\\\(x+2)(x+8)$

Therefore, the two binomial factors of the given expression $x^2+10x+16$ are (x+8) and (x+2).