When p (x) = x 3 – ax 2 + x is divided by (x – a), the remainder is

Question

Philoid · Accepted Answer

We have,

x³ – ax² + x

Let, p (x) = x³ – ax² + x

And, x - a = 0

x = a

It is given that, (x - a) is a factor of p (x) so the remainder is equal to p (a)

∴ p (a) = (a)³ – a (a)² + a

= a³ – a³ + a

= a

Hence, option B is correct

When p (x) = x3 – ax2 + x is divided by (x – a), the remainder is