How do you use the remainder theorem to find the remainder when #2x^3 – x^2 – 3x + 7# is divided by x + 2?

1 Answer
Jim H
Aug 22, 2015

The remainder is #-7#

Explanation:

The Remainder Theorem tell us that when polynomial #P(x)# is divided by #x-c#, the remainder is #P(c)#.

When #P(x) = 2x^3 – x^2 – 3x + 7# is divided by #x + 2#,

we are dividing by #x-(-2)#, so the remainder will be:

#P(-2) = 2(-2)^3 – (-2)^2 – 3(-2) + 7#

# = -16-4+6+7 = -20 + 13 = -7#

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