Question

find the value of 'k' if x - 1 is a factor of 4x^3 + 3x^2 - 4x + k

Answer 1

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GIVEN Polynomial:- 4x³+3x²-4x+k

Also Given:- (x-1)=0

x=1

Now...

Putting the value of given Statement

4(1)³+3(1)²-4(1)+k=0

4+3-4+k=0

7-4+k=0

3+k=0

k=-3




Conclusion:- K=-3



Thanks!!!!!

Answer 2

Hey mate

Here ♣♣♣♣⬇⬇⬇⬇



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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