Question

the value of x for which x-1 is a factor of the polynomial 4x^3+3x^2-x+x​

Answer 1

Step-by-step explanation:

finding the remainder by dividing 4x³+3x²-x+x by x-1

Comparing,

x-a=x-1

x-a-x=-1

-a=-1

a=1

let p(x)=4x³+3x²-x+x

where p(a)= -1

=4×-1³+3×-1²-(-1)+(-1)

=-4+3+1-1

=-1

therefore x-1 is not the factor of 4x³+3x²-x+x.