for what values of x is f(x)=(2x^3-3x^2-8x+12)/x-2 undefined?

Question

a. For what values of x is f(x) = (2x^3 - 3x^2 - 8x + 12) ÷ x - 2 undefined?

b. Give the zeros of f.

Answer 1

Here divisor is .

If , then .

So, f(x) is undefined when .

Solve by using synthetic division.

        

The quotient is  .

.

Solve for all zeros of x.

Zeros of f(x) are .