A polynomial, P(x) = x2 + 2x + k has (x – 2) as a factor. What is
the value of k?

x-2 =0

x=2

now

putting the x value in p

we have,

p(2) = x2 + 2x +k

= 2×2 +2×2+k

= 4+4+k

= 8+k

so,

Either

8+k =0

k= - 8

step-by-step explanation:

look at the picture.

y-intercept for the function on a picture is 4 → point (0, 4).

y-intercept for the function

is for x = 0. substitute:

y-intercept is 8 → point (0, 8).