Question

Please Help:)
The value of 'k' for which "x+k" is a factor of\[\LARGE{\color{blue}{x^3+kx^2-2x+k+4}}\]is????
@TuringTest @cshalvey @KingGeorge @nbouscal @dumbcow @jim_thompson5910 :)

Answer 1

If x+k is a factor of x^3+kx^2-2x+k+4

Then x = -k is a zero of x^3+kx^2-2x+k+4

So replace x with -k and the result should be zero

So

x^3+kx^2-2x+k+4

(-k)^3+k(-k)^2-2(-k)+k+4 = 0

Solve that for k

Answer 2

\[\Huge{\color{green}{k=\frac{-4}{3}}}\]???? @jim_thompson5910

Answer 3

you got it

Answer 4

thanx:)

Answer 5

yw