Question

If (x-1) is a factor of P(x)=〖4x〗^3+〖3x〗^2-4x +K , then find the value of K.​

Answer 1

Answer:

k=-3

Step-by-step explanation:

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

Answer 2

k=-3

Step-by-step explanation:

4x^3+3x^2-4x+k=0 , x-1 is the factor of the given polynomial

therefore , x=1

4(1)^3+3(1)^2-4(1)+k=0

4+3-4+k=0

7-4+k=0

3+k=0

therefore,k=-3

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