Question

find the remainder if
(x^3- 6x^2 +13x + 60) is divided by (x + 2)​

Answer 1

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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