Practice problem
How would you use the factor theorem to determine if x−1x-1x−1 is a factor of 2x4+3x2–5x+72x^4 + 3x^2 – 5x + 72x4+3x2–5x+7?
Use long division to find if there is a remainder when 2x4+3x2–5x+72x^4 + 3x^2 – 5x + 72x4+3x2–5x+7 is divided by x−1x-1x−1.
Factor 2x4+3x2–5x+72x^4 + 3x^2 – 5x + 72x4+3x2–5x+7 and see if x−1x-1x−1 is one of the factors.
Substitute in x=1x=1x=1 and see if f(1)=0f(1) = 0f(1)=0; if it is, then x−1x-1x−1 is a factor.
Type a concept, like “slope” or “photosynthesis”.