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Use the remainder theorem to find the remainder for each of the following divisions. (x²+3x+1)/(x+2)

User MaanooAk
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1 Answer

3 votes

Answer:

The remainder of this division is -1.

Explanation:

Given data in the question:-

Dividend=
x^2+3x+1

Divisor=
x+2

Solution:-

To find the remainder using the remainder theorem. We have to substitute -2 in the dividend and on solving that we will get the remainder.

We got -2 from the divisor when we equate the divisor to 0.

x+2=0

x=-2


p(a)=x^2+3x+1\\

Substituting -2 in above written equation.


p(-2)=(-2)^2+3(-2)+1\\p(-2)=4-6+1\\p(-2)=5-6\\p(-2)=-1

User Don Li
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