If (x + 2) is a factor of x3 − 6x2 + kx + 10, k =

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13-04-2017
Mathematics

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If (x + 2) is a factor of x3 − 6x2 + kx + 10, k =

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ghanami ghanami · Answer 1 · 2017-04-13T18:43:16+02:00

ghanami ghanami

13-04-2017

hello:
let : f(x) = x3 − 6x2 + kx + 10
If (x + 2) is a factor of x3 − 6x2 + kx + 10 : f(-2) = 0
(-2)^3-6(-2)² +k(-2)+10=0
-8 -24-2k +10 = 0
-2k =8+24-10
-2k = 22
k = -11

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