Question

If x+2 is a factor of kx^3–x^2–kx + k, then find the value of k.

Answer 1

Answer:

the right value of k will be -4/5.

Step-by-step explanation:

as,here it is given X + 2 is a factor of the polynomial F(x).

so x=-2 is a zero of this polynomial

zero value.

f(x)=kx^3–x^2–kx + k

f(-2)=k*(-2)^3-(-2)^2-k*(-2)+k

= -8k-4+2k+k

= -8k+3k-4

= -5k-4

and we know that the value of the polynomial becomes zero on its zero value

so, -5k-4=0

-5k=4

k= -4/5 ..

• Hope! it will help you..