Find the value of k , if x-1 is a factor of 4x³+3x²-4x+k
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If x - 1/2 is a factor of 4x^3+3x^2-x+k then all we need to do is to substitute x with 1/2 and equate the expression to zero. This would give the value of k.
Therefore, let’s substitute 1/2 in place of x and equate the expression to zero.
4*(1/2)^3 + 3*(1/2)^2 - (1/2) + k = 0
4/8 + 3/4 - 1/2 + k = 0
=3/4 + k = 0
Therefore k = -3/4.
The value of k is (-3/4) in order for x - 1/2 to be a factor of 4x^3+3x^2-x+k.
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