Question

derterminate the number k so that the polynomial can be writen as q(x) * (x+2) and determinate q(x)

x^4-4x^2-2x+k

Answer 1

If x+2 is a factor, then x = -2 is a solution to x^4-4x^2-2x+k = 0

So simply plug in x = -2 and solve for k

Answer 2

no you use long devision

Answer 3

you can it you want, but this way is much easier

Answer 4

I know its bad but I cant solve it using that T_T

Answer 5

just replace x with -2 and simplify

Answer 6

then solve for k

Answer 7

that leads to -28 wish is not correct T_T

Answer 8

x^4-4x^2-2x+k = 0

(-2)^4-4(-2)^2-2(-2)+k = 0

16-4(4)-2(-2)+k = 0

16-16+4+k = 0

4+k = 0

k = -4

Answer 9

thanks!

Answer 10

np