jelsaislife5215 jelsaislife5215
  • 21-10-2019
  • Mathematics
contestada

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

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ExieFansler ExieFansler
  • 22-10-2019

Answer:

The remainder of this division is -1.

Step-by-step explanation:

Given data in the question:-

Dividend=[tex]x^2+3x+1[/tex]

Divisor=[tex]x+2[/tex]

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

[tex]p(a)=x^2+3x+1\\[/tex]

Substituting -2 in above written equation.

[tex]p(-2)=(-2)^2+3(-2)+1\\p(-2)=4-6+1\\p(-2)=5-6\\p(-2)=-1[/tex]

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