Find the value of k if (x+k) is a factor of the polynomial x3+kx2-2x+k+4
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Answered by
8
let
f(x)= x3+kx2-2x+k+4
x+k is a factor of f(x) therefore f(-k)=0
(-k)^3+k×k^2-2×k+k+4=0
-k^3+k^3-2k+k+4=0
-2k+k+4=0
-k+4=0
-k= -4
k=4
f(x)= x3+kx2-2x+k+4
x+k is a factor of f(x) therefore f(-k)=0
(-k)^3+k×k^2-2×k+k+4=0
-k^3+k^3-2k+k+4=0
-2k+k+4=0
-k+4=0
-k= -4
k=4
Answered by
0
Answer:
-4/3
Step-by-step explanation:
hope you get the answer
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