SOLUTION: If (x + 2) is a factor of x^3 − 6x^2 + kx + 10, k =
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Question 935116: If (x + 2) is a factor of x^3 − 6x^2 + kx + 10, k =
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
If (x + 2) is a factor of x^3 − 6x^2 + kx + 10, k =
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If (x+2) is a factor, x = -2 is a zero or root.
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Using synthetic division::
-2)....1....-6....k....10
.......1....-4....k-8..|..-2(k-8)+10
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Solve::
-2(k-8)+10 = 0
-2k + 16 + 10 = 0
-2k = 26 = 0
k = 13
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Cheers,
Stan H.
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