find the remainder when x3 -6x2 +13x+60 is divided by x +2
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Answered by
45
hope it will help. the remainder is 2
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kvnmurty:
There is a good way of doing this. To find the remainder of division by x+2 , just substitute x = -2 in the given polynomial. You will get 2.
Answered by
40
Answer:
The remainder = 2
Step-by-step explanation:
Let p(x)=x³-6x²+13x+60, g(x)=x+2
/* Remainder Theorem :
If p(x) is any polynomial of degree greater than or equal to 1 and p(x) is divided by the linear polynomial (x-a) ,then the remainder is p(a). */
Here ,
p(x) is divided by (x+2) then the remainder is p(-2).
p(-2) = (-2)³-6(-2)²+13(-2)+60
= -8-24-26+60
= -58+60
= 2
Therefore,
The remainder = 2
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