check whether 2x+1 is factor of 4x³+4x²-x-1
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Answer:
clearly k=2, since the factors would be
(2x+1)(x-a)(x-b)
You don't even have to find a and b, since the only factors of 2 are 2,1,1
But, just to check,
2x^3 + 7x^2 + 2x - 3 = (2x+1)(x+1)(x+3)
oobleck
Apr 18, 2020
K(-1/8)+7/4-k/2-3=0
-k/8+7/4-k/2-3=0
-k/8-k/2=3-7/4
-k/2(1/4+1)=5/4
-k/2(5/4)=5/4
-k/2=1
K=-2
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