SOLUTION: Solve the problem. Find k such that f(x) = x^4 + kx^3 + 2 has the factor x + 1.

SOLUTION: Solve the problem. Find k such that f(x) = x^4 + kx^3 + 2 has the factor x + 1.

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Question 824422: Solve the problem.
Find k such that f(x) = x^4 + kx^3 + 2 has the factor x + 1.

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Solve the problem.
Find k such that f(x) = x^4 + kx^3 + 2 has the factor x + 1.
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Solve:
f(-1) = (-1)^4+k(-1)^3+2 = 0
1 - k + 2 = 0
-k+3 = 0
k = 3
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Cheers,
Stan H.
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