What is the remainder when $(-2x^4 - 6x^2 + 3x + 1) div ( x + 1)$ ?

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Answer 1 · 2015-12-31T12:13:32

$-10$

From the remainder theorem theory, we may simply find the required remainder by evaluating $f(-1)$ in $(f(x)=-2x^4-6x^2+3x+1$ .

Doing so yields

$f(-1)=-2(-1)^4-6(-1)^2+3(-1)+1$

$=-2-6-3+1$

$=-10$ .

What is the remainder when (-2x^4 - 6x^2 + 3x + 1) div ( x + 1)(-2x^4 - 6x^2 + 3x + 1) div ( x + 1)?