Two of the zeros of g(x) are specifically listed in the table. What are those two zeros? Then, what is the multiplicity of each zero? Give a reason for your response to both questions

a) and are roots of the polynomial .

b) and have a multiplicity of 1.

Step-by-step explanation:

a) What are those two zeroes?

The two values of listed in the table whose outputs are zero are roots of , defined as . In other words, those values of (-1 and 2) satisfies the condition that .

b) What is the multiplicity of each zero?

From the Fundamental Theorem of Algebra, we know that third-order polynomials have three roots and from we understand that those two known zeroes with a multiplicity of 1, since there is a third root within , where and .

the formula of a slope:

we have the points (-2, 7) and (2, 3). substitute: