Use the graph to write a formula for the polynomial function of the least degree

Using the graph and the factor theorem, the formula for the polynomial function of the least degree is:

The Factor Theorem states that a function that has zeros can be written as:

In which a is the leading coefficient.

In the graph, the zeros are the values of x for which the x-axis is crossed, thus, they are:

Then

The y-intercept is , which means that , which is used to find a.

Then

Then, the polynomial function is:

A similar problem is given at link

Step-by-step explanation:

Hello,

Based on the roots we can write it as

a(x+2)(x+1)(x-3)

a being a real such that

a*2*1*(-3)=3 <=> a = -1/2

Then

the polynomial function is

Thanks

if x = 1, then the answer is 3.5