Question

If p(x) = x³+3x² - 5x+8 is divided by the following, then find the remainder with the help of remainder theorem

1.) x+1
2.) 2x-1
3.) x+2
4.) x-4
5.) x+1/3​

Answer 1

Answer:

Given, p(x)=x

4

+x

3

+x

2

−5x+1 and g(x)=x+1

q(x) ⇒ x+1=0 ⇒x=−1

The remainder when p(x) is divided by g(x) is p(−1) ...(By Remainder Theorem)

Thus,

p(−1)=(−1)

4

+(−1)

3

+(−1)

2

−5(−1)+1

p(−1)=1−1+1+5+1

p(−1)=7