Given f(x)=x^3+2x+k.
and x+1 is a factor of f(x), then what is the value of k?
1 answer:
Answer:
k = 3.
Step-by-step explanation:
By the Factor Theorem. if x+a is a factor of f(x) then f(-a) = 0.
Here we use f(-1):
f(-1) = (-1)^3 + 2(-1) + k = 0
-1 - 2 + k = 0
k = 3.
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