Question

Find the value of k if x+k is a factor of a polynomial x3+kx2-2x+k+5

Answer 1

Answer:

k= -5/3

Step-by-step explanation:

x+k=0

x = -k

p(x)= x³+kx²-2x+k+5

p(-k)= (-k)³+k(-k)²-2(-k)+k+5

= -k³+k³+2k+k+5

= 3k+5

k= -5/3