Question

9. Use the graph of each polynomial function to find the factored form of the related polynomial.

Assume the polynomial has no constant factor.
A.
What are the zeros of this function? (2 points)
what is the factorization of the polynomial

Answer 1

A) the zeros are; x = -2 and x = 4

B) y = (x + 2)(x - 4)

Explanation:

A) The zeros are the values of x where the graph curve crosses the x-axis.

Looking at the graph, the curve crosses the x-axis at x = -2 and x = 4

Thus, the zeros are; x = -2 and x = 4

B) Factorization of the polynomial means that we transform the zeros into the polynomial.

Thus, we have; y = (x + 2)(x - 4)

So when y is zero, x = - 2 or 4 as earlier derived.