divide 4x^3-6x^2-4x+k by 2x-1
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Divide x3+6x2+4x+k by x+2
x+2 )x3+6x2+4x+k( x2+4x−6
−(x3+2x2)
4x2+4x+k
−(4x2+8x)
−4x+k
−(−4x−8)
k+8
As, x+2 is a factor of the given polynomial, so remainder must be 0.
So, k+8=0 or k=−8
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