Question

Find the value of k, if (x-1) is a factor of P(x)=4x3+3x2-4x+k.

Answer 1

Answer:

-3

Step-by-step explanation:

let x-1 be g(x).

therefore g(x)=0

x-1 = 0

x = 1

by the factor theorem, we know that when p(x) is divided by g(x). the remainder is p(1). so, p(1)=0 .

4x^3+3x^2-4x+k=0

4*1^3+3*1^2-4*1+k=0

4*1+3*1-4+k=0

4+3-4+k=0

7-4+k=0

3+k=0

k= -3