GuavaEater
New member
- Joined
- Feb 9, 2017
- Messages
- 13
Hey there,
I'm having trouble with this question from my polynomials/graphing unit.
1. Write the equation of the polynomial function in factored form that has the following properties:
- Is tangent to the x-axis at (-2,0)
- 1/3 is a root with a multiplicity of 2
- 1 is a root with a multiplicity of 3
- has a y-intercept of 2/3
What I tried doing was writing it first in non-factored form first, which I'm not even sure is correct. It looked like this:
f(x) = x3 +(1/3)x2-2x+(2/3)
My rationale was that -2, 1/3, and 1 are all x-intercepts, and 2/3 is the y-intercept. I then attempted synthetic division using 1 as the restrictiion which did not yield any results. How would I go about creating this factored function?
I'm having trouble with this question from my polynomials/graphing unit.
1. Write the equation of the polynomial function in factored form that has the following properties:
- Is tangent to the x-axis at (-2,0)
- 1/3 is a root with a multiplicity of 2
- 1 is a root with a multiplicity of 3
- has a y-intercept of 2/3
What I tried doing was writing it first in non-factored form first, which I'm not even sure is correct. It looked like this:
f(x) = x3 +(1/3)x2-2x+(2/3)
My rationale was that -2, 1/3, and 1 are all x-intercepts, and 2/3 is the y-intercept. I then attempted synthetic division using 1 as the restrictiion which did not yield any results. How would I go about creating this factored function?