How do you use the Remainder Theorem To Find $P(x)=x^(4)-x^(3)-19x^(2)+31x-31$ ; k=4?

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Answer 1 · 2016-03-18T23:52:13

Divide by x-4

Remainder theorem that says if you divide by x-4, the remainder will be equal to P(4).

4 || 1 -1 -19 31 -31
4 12 -28 12
---------------------------------
1 3 -7 3 -19

So $P(4)=-19$ which you can test by direct substitution

How do you use the Remainder Theorem To Find P(x)=x^(4)-x^(3)-19x^(2)+31x-31P(x)=x^(4)-x^(3)-19x^(2)+31x-31 ; k=4?