Anonymous Anonymous

01-02-2015
Mathematics

Answered

The remainder when x^3 - 11x + 10 is divided by (x+3) is

A 52

B 16

C 4

D -24

I was doing a past paper and came across this,I know one (long) way of doing this and was just wondering if anyone could show me a shorter way!!!

Verified Answer :

konrad509 konrad509

01-02-2015

If you divide a polynomial \(P(x)\) by a binomial \(x-c\), then the remainder is equal to \(P(c)\).

\(c=-3\\R(x)=P(-3)\\ R(x)=(-3)^3-11\cdot(-3)+10\\ R(x)=-27+33+10\\ R(x)=16\)

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