Question

find the value of k if X+k is the factor of the polynomials: (1) x^3+kx^2-2x+k+5. (2)x^4-k^2x^2+3x-6k​

Answer 1

Answer:The answer is

k

=

−

11

Step-by-step explanation:

Let

f

(

x

)

=

x

3

−

6

x

2

+

k

x

+

10

If

(

x

+

2

)

is a factor

Then,

f

(

−

2

)

=

0

f

(

−

2

)

=

−

8

−

24

−

2

k

+

10

=

0

2

k

=

−

22

k

=

−

11

Answer 2

Answer:

x=-k

I) x*3+kx*2-2x+k+5

-k*3+k(-k)*2-2(-k)+k+5

-3k-2ksquare+2k+k+5

-3k-2k2+3k+5

-2ksquare+5