Pre calculus Roots equation

Question

Determine the equation whose roots are 4,-2, and 1/3

Answer 1

If the roots are 4, -2, 1/3, that means the curve crosses the x-axis at those points

Thus you can create...

(x-4)(x+2)(3x-1)

(If you plug in 4, -2, and 1/3 into that simplified equation you will receive 0, that is a root.)

From here, you can foil it out and receive...

3x^3-7x^2-22x+8

Your answer is

3x^3-7x^2-22x+8

Cheers!