Question

How to use the Factor Theorem to determine if (x + 2) is a factor of x3 + x2 - 16x - 16?

Answer 1

replace \(x\) by -2 and see if you get zero

Answer 2

\[(-2)^3+(-2)^2-16\times (-2)-16\] if that is zero, then it factors as \((x+2)(\text{something})\) if not, then it doesn't

Answer 3

So it's not a factor?

Answer 4

i didn't actually compute it
lets try

Answer 5

\[-8+4+32-16\] nah not zero

Answer 6

weird, because the zeros are actually \(4,-4,-1\)

Answer 7

in case that was the next question