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]
