If (x+k)is a factor of 2x^2+2kx+5x+10, find k
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Answered by
70
if x+k is the factor,
x = -k will be the root.
so plug in x = -k, in f(x) = 0
2(-k)^2 + 2k(-k) + 5(-k) +10 = 0
2k^2 -2k^2 -5k + 10 = 0
-5k = -10
k=2
x = -k will be the root.
so plug in x = -k, in f(x) = 0
2(-k)^2 + 2k(-k) + 5(-k) +10 = 0
2k^2 -2k^2 -5k + 10 = 0
-5k = -10
k=2
Answered by
6
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