# Math Help - remainder theorm

1. ## remainder theorm

can help me with this one??

1. Use the remainder theorm to find the remainder when 2x^2-3x^2+7x-4
is divided by (x+1)

thanks guys..

can help me with this one??

1. Use the remainder theorm to find the remainder when 2x^2-3x^2+7x-4
is divided by (x+1)

thanks guys..
Did you REALLY mean $2x^2-3x^2+7x-4$ or what it supposed to be:

$2x^3-3x^2+7x-4$

I'm assuming the last.

Let $P(x) = 2x^3-3x^2+7x-4$

We can express this in the form:

$P(x) = q(x)(x+1) + r(x)$

$r(x)$ is the remainder!

Consider $P(-1)$

$P(-1) = q(-1)(-1+1) + r(-1)$

$P(-1) = q(-1)(0) + r(-1)$

$P(-1) = r(-1)$

And we can find P(-1) from the original equation!:

$P(-1) = 2(-1)^3-3(-1)^2+7(-1)-4$