Answer:
C. x^2 + 4
E. x + 2
If you didn't factored [tex]\left(x^4-16\right)[/tex]
A. x^4 – 16
Step-by-step explanation:
[tex]x^8-256[/tex]
Let's get it easier. First I will led the exponent to 2.
[tex](x^4)^2-16^2[/tex]
Using Difference of Two Squares [tex]a^2-b^2=\left(a+b\right)\left(a-b\right)[/tex]
[tex]\left(x^4\right)^2-16^2=\left(x^4+16\right)\left(x^4-16\right)[/tex]
Do the same with [tex]\left(x^4-16\right)[/tex]
[tex]\left(x^2\right)^2-4^2[/tex]
[tex]\left(x^2+4\right)\left(x^2-4\right)[/tex]
You can do the same with[tex]\left(x^2-4\right)[/tex]
[tex]x^2-2^2[/tex]
[tex]\left(x+2\right)\left(x-2\right)[/tex]
So,
[tex]x^8-256=\left(x^4+16\right)\left(x^2+4\right)\left(x+2\right)\left(x-2\right)[/tex]
