How can I find the remainder when 5x^3+7x+5 id divided by x+2

Question

asked Feb 14, 2019 142k views

1 Answer

Pranav Negandhi · Answer 1 · 2019-02-20T18:15:15+0000

Use the polynomial remainder theorem. It states that division of
p(x)

by some linear factor
x-c

yields a remainder of
p(c)

.

In this case,
p(x)=5x^3+7x+5

and

, so the remainder is

p(-2)=5(-2)^3+7(-2)+5=-49