Determine the remainder when polynomial p ( x ) is divided by x – 2.

Question

Determine the remainder when polynomial p ( x ) is divided by x &#x2013; 2.

Philoid · Accepted Answer

p(x) = x⁴ - 3x² + 2x - 5
According to remainder theorem, the required remainder will be = p(2)
p(x) = x⁴ - 3x² + 2x - 5
.^.. p(2) = 2⁴ - 3(2)² + 2(2) - 5
= 16 - 12 + 4 - 5 = 3

Determine the remainder when polynomial p(x) is divided by x – 2.