Question

Using the remainder theorem, find the remainder, when p(x) is divided by g(x), where p(x) = 2x³ - 7x² + 9x – 13, g(x) = x – 3​

Answer 1

Answer:

Let f(x)=2x

3

−kx

2

+7x−1.

Now according to the remainder theorem, when f(x) is divided by x−1 then the remainder is f(1).

Now, f(1)=2−k+7−1=8−k.

According to the problem,

8−k=3

or, k=5.