Question

the polynomial p(x) = 3x^2-5x+k and q (x)=2x^3-6x+5k-3 when divided by (x+2) leave the same remainder find the value of k​

Answer 1

Step-by-step explanation:

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.