How do you use the remainder theorem to find the remainder of (x^3 - 5x^2 + 7x +3) ÷ (x-2)?

1 Answer
Mar 21, 2018

Put 2 as the value of x in the dividend

Explanation:

The remainder theorem states that every polynomial,
For Ex - p( x )= x^2 + x + 1
if divided by a polynomial of the form - ( x - a )
will give remainder as p(a) = (In this case) a^2 + a + 1

Here:
p(x) = (x^3 - 5x^2 + 7x + 3)
g(x) = (x-2)

So,
p(2) = (2^3 - 5*2^2 + 7*2 + 3)
= (8-20+24 + 3)
= 15
Remainder = 15