Answer:
Step-by-step explanation:
<u>Polynomials </u>
a)
The polynomial whose graph is shown is of third degree because it has three real roots. The roots of a polynomial are the values of x that make the expression equal to zero. We can see it happens three times in the graph provided. The roots or zeros are
x=-2, x=1, x=3
b)
The factored form of a polynomial whose roots are known is
We know the value of the roots, thus the polynomial is written as
We need to find the value of a. We do that by replacing the value of x=0 and finding a that makes f(0)=3 (as seen in the graph). Thus
Thus the factored form of the polynomial is
c)
Let's multiply all the factors