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:
[tex]x^2+10x+16[/tex]
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:
[tex]x^2+10+16\\\\x^2+2x+8x+16\\\\x(x+2)+8(x+2)\\\\(x+2)(x+8)[/tex]
Therefore, the two binomial factors of the given expression [tex]x^2+10x+16[/tex] are (x+8) and (x+2).
