Question

If (x–k) is the factor of -x³ + 2x² – 2x + 4

Answer 1

Step-by-step explanation:

x-k

x=k

p(k)=-k^3+2k^2-2k+4

=-k+4k-2k+4

=-3k+4k+4

=k+4

Answer 2

Step-by-step explanation:

⚫(x-k)

⚫x=k.....(1)

✔ -x^3 +2x^2 -2x +4

use eq1 in the expression

-k^3 + 2k^2 -2k +4

-k^2(k-2) -2(k-2)

(-k^2 -2) (k-2)

⚫-k^2-2=0

⚫-k^2=2

⚫k=-√2

or,

⚫k-2=0

⚫k=2

Hope it may helps...

Thanks ❤