- #1
pita0001
- 18
- 0
f(x)= x (x+2)^2 (x-1)^4Zeros would be: 0, -2, 1
Multipicity of : 1 2 4Then for y- intercept: f(0)=0
And don't know how to graph it...
Multipicity of : 1 2 4Then for y- intercept: f(0)=0
And don't know how to graph it...
Would my graph be like:
Going from positive infinity to -2, then down making a U
and going through zero, then down and going through 1,
ending going up towards positive infinity?
|
| *
|
| * *
-2 |* * *
- - - * - - - * - - * - -
* * | 1
* * *|
* |
* |
|
Finding the zeros of a polynomial function means determining the values of x that make the function equal to zero. These values are also known as the roots of the polynomial.
To find the zeros of a polynomial function, you can use the quadratic formula, factoring, or graphing. The method used will depend on the degree and complexity of the polynomial.
The multiplicity of a zero in a polynomial function is the number of times that zero appears as a root of the polynomial. It is also known as the degree of the zero.
You can determine the multiplicity of a zero by examining the power of the corresponding factor in the factored form of the polynomial. For example, if (x + 2)^3 is a factor, the multiplicity of the zero -2 is 3.
Yes, a polynomial function can have a zero with a multiplicity greater than 1. This means that the factor corresponding to that zero appears multiple times in the factored form of the polynomial.