For what value of k, (x - 1) is a factor of 4x + 3x² - 4x +k.
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Step-by-step explanation:
x - 1 is a factor of 4x^3 + 3x^2 -4x +k
then x=1 is one root of 4x^3 + 3x^2 -4x +k
put x= 1
4x^3 +3x^2 -4x +k = 0
=> 4 (1)^3 +3 (1)^2-4 (1) +k =0
=> 4 + 3 - 4 + k = 0
=> k = -3
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