Question

p (x)=x3+3x2+3x+1, find the remainder when divided by 5+2x​

Answer 1

Given:

• p(x)=x^3+3x^2+3x+2
• g(x)=5+2x

To find:

• Remainder

Solution:

Let us first find the value of x

g(x)=5+2x

Put g(x)=0

So 5+2x=0

x=-5/2

Substituting x=-5/2

p(x)=x^3+3x^2+3x+2

p(-5/2)=(-5/2)^3+3(-5/2)^2+3(-5/2)+2

=-19/8