Question

The value of k is for which -4 is a zero of polynomial x2-x-2k+2​

Answer 1

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Answer 2

SOLUTION:-

Given:

Polynomial: x² -x-2k +2

We know that if x= a is zeros polynomial,

then x-a is a factor of f(x).

To find:

The value of k.

Explanation:

We have,

-4 is zero of f(x).

Therefore,

x+4 is a factor of f(x).

Now,

Divide f(x)= x² -x -2k +2 by g(x)=x+4.

Above the attachment.

So,

Remainder =0

=) -2k+22=0

=) -2k = -22

=) k= -22/-2

=) k= 11.

Hence,

The value of k is 11.