Math, asked by anu161, 1 year ago

find the remainder when x3 -6x2 +13x+60 is divided by x +2

Answers

Answered by madhuri6
45
hope it will help. the remainder is 2
Attachments:

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.
madhuri6: okk
Answered by mysticd
40

Answer:

The remainder = 2

Step-by-step explanation:

Let p(x)=-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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