Question

Find the remainder when x3+3x2+3x+1 is divided by 5+2x

Answer 1

Answer:

Step-by-step explanation:

p(x) = x^3+3x^2+3x+1

by remainder theorem :

g(x)= 5+2x

5+2x = 0

x = -5/2

put the value of x in p(x)

=(-5/2)^3+3(-5/2)^2+3(-5/2)+1

=  -125/8+75/4-15/2+1

$\frac{-125+150-60+8}{8}$

-27/8 is the remainder