The complete factor of the expression [tex]\rm x^3 + 4x^2 + 8x + 32[/tex] is [tex]\rm (x^2 + 8)(x+ 4)[/tex]correct option is A.
It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.
The expression is [tex]\rm x^3 + 4x^2 + 8x + 32[/tex].
To factorization the expression properly. Then we have
[tex]\rm x^3 + 4x^2 + 8x + 32 \\\\x^2(x+4) +8(x+ 4)\\\\(x+4)(x^2 + 8)[/tex]
The factor is [tex]\rm (x^2 + 8)(x+ 4)[/tex].
More about the factorization link is given below.
https://brainly.com/question/6810544
