Question

find the value of k if x-2 is a factor of p (x)=2x^2+3x-k

Answer 1

hope it will help you.......

Answer 2

The value of k is 14.

Given,

(x-2) is a factor of p(x) = 2x²+3x-k.

To Find,

The value of k.

Solution,

It is given that (x-2) is a factor of p(x) = 2x²+3x-k. So it will satisfy the polynomial.

Therefore, when we will substitute x = 2 in the polynomial then it will give the result as 0.

So,

P(2) = 0

2(2)²+3(2)-k = 0

8+6-k = 0

k = 14

Hence, the value of k is 14.

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