Question

A. Find the zeros in state the multiplicity of each zeroB. Write an equation expressed as the product of factors, of a polynomial function for the graph Using A leading coefficient of 1 or -1 and make the degree of F a small as possible.C. Use both the equation in part B and graph to find the Y intercept

Answer 1

Given the graph of a polynomial function:

We will find the following:

A. Find the zeros and state the multiplicity of each zero

The zeros of the function are the points of the intercept between the x-axis and the graph of the function

as shown, there are 3 points of intersection (3 zeros)

x = -1, multiplicity = 3

x = 1, multiplicity = 2

x = 2, multiplicity = 1

B. Write an equation expressed as the product of factors, of a polynomial function for the graph Using A leading coefficient of 1 or -1 and make the degree of F as small as possible.

Form A, the factors of the function will be:

(x+1), (x-1), and (x-2)

The equation of the function will be:

`f(x)=(x+1)^3(x-1)^2(x-2)`

C. Use both the equation in part B and graph to find the Y-intercept

The y-intercept is the value of (y) when (x = 0)

So, substitute with x = 0

So,

`y=(0+1)^3\cdot(0-1)^2\cdot(0-2)=-2`

So, the answer will be: y-intercept = -2