Question

The remainder obtained when the polynomial p(x) is divided by (b – ax) is (2 Points) p(b/a) p(a/b) p(−b/a) p(−a/b)

Answer 1

Answer:

P(b/a)

Step-by-step explanation:

Let Q(x) and R be the quotient and remainder when P(x) is divided by (b-ax), then

P(x) = (b-ax)*Q(x) + R

Putting x = b/a we get

P(b/a) = (b-a*(b/a))*Q(b/a) + R

⇒P(b/a) = (b-b)*Q(b/a) + R

⇒P(b/a) = 0*Q(b/a) + R

⇒ R = P(b/a)

Hence, the remainder is P(b/a)