Use the remainder theorem to find the remainder when f(x) is divided by x-1. Then use the factor theorem to determine whether x-1 is a factor of f(x).

f(x)= 3x^4-5x^3-3x+5

a) what is the remainder?
b) is x-1 a factor?

Question

Use the remainder theorem to find the remainder when f(x) is divided by x-1. Then use the factor theorem to determine whether x-1 is a factor of f(x). 

f(x)= 3x^4-5x^3-3x+5

a) what is the remainder?
b) is x-1 a factor?

terenzreignz · Answer

Two things... one, to determine the remainder when a polynomial is divided by (x-r), simply plug in r.

What is f(1)?