SOLUTION: The polynomial f(x) has degree 3. If f(-1) = 15, f(0)= 0, f(1) = -5, and f(2) = 12, then what are the x-intercepts of the graph of f?

Algebra.Com
Question 1043703: The polynomial f(x) has degree 3. If f(-1) = 15, f(0)= 0, f(1) = -5, and f(2) = 12, then what are the x-intercepts of the graph of f?
Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
Use the general equation,

.
.
.

1.
.
.

2.
.
.

3.
.
.


4.
.
.
Updating eq. 1,
1.
Adding eq. 1 to eq. 3,



Adding eq. 1 to eq. 4,




.
.
.
So then using eq. 3,


.
.
.

Now solve for



Solve for the three zeros or look at the graph where the func tion crosses the x-axis.
.
.
.
.

RELATED QUESTIONS

The polynomial f(x) has degree 3. If f(-1) = 15, f(0)= 0, $f(1) = -5, and f(2) = 12, then (answered by robertb)
The polynomial f(x) has degree 3. If f(-1) = 15, f(0)= 0, f(1) = -5, and f(2) = 12, then... (answered by stanbon)
The polynomial f(x) has degree 3. If f(-1) = 15, f(0)= 0, f(1) = -5, and f(2) = 12, then... (answered by Boreal,stanbon)
The polynomial f(x) has degree 3. If f(-1) = 15, f(0)= 0, f(1) = -5, and f(2) = 12, then... (answered by greenestamps)
The polynomial $f(x)$ has degree 3. If $f(-1) = 15$, $f(0)= 0$, $f(1) = -5$, and $f(2) =... (answered by ikleyn)
Please help me to solve those problems. I would really appreciate any help.Thanks!... (answered by robertb)
If f is a polynomial of degree 4 such that f(0) = f(1) = f(2) = f(3) = 1 and f(4) = 0, (answered by math_helper)
Pls help! If you can answer either one of them, I am so appreciated. 1.(x-2)(x+3)^2 /... (answered by Fombitz)
Pls help! If you can answer either one of them, I am so appreciated. 1.(x-2)(x+3)^2 /... (answered by Fombitz)