Using remainder theorem, find the remainder when p(x) = x³ + 3x² – 5x + 4 is divided by (x ‒ 2).

Question

Using remainder theorem, find the remainder when p(x) = x 3 + 3x 2 – 5x + 4 is divided by (x ‒ 2).

Philoid · Accepted Answer

It is given in the question that,

p (x) = x³ + 3x² – 5x + 4

Now, p (2) = (2)³ + 3 (2)² – 5 (2) + 4

= 8 + 12 – 10 + 4

= 14

Using remainder theorem, find the remainder when p(x) = x3 + 3x2 – 5x + 4 is divided by (x ‒ 2).