SOLUTION: I need help with this homework problem. How do you find the zeros of a polynomial function? The equation is y=6x^3+17x^2+6x-8. Could you also write the function in factored form?

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: I need help with this homework problem. How do you find the zeros of a polynomial function? The equation is y=6x^3+17x^2+6x-8. Could you also write the function in factored form?      Log On


   

Question 443091: I need help with this homework problem. How do you find the zeros of a polynomial function? The equation is y=6x^3+17x^2+6x-8. Could you also write the function in factored form?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
I need help with this homework problem. How do you find the zeros of a polynomial function? The equation is y=6x^3+17x^2+6x-8. Could you also write the function in factored form?
---
If you have a graphing calculator, graph the equation and find the real roots.
graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C6x%5E3%2B17x%5E2%2B6x-8%29
---
I get real roots at x = 1/2, x = -4/3, and x = -2
-----
So you have factored form y = (2x-1)(3x+4)(x+2)
====================================================
Cheers,
Stan H.