Question

Use the graph of each polynomial function to find the factored form of the related polynomial. Assume the polynomial has no constant factor.

B.
What are the zeros of this function? (2 points) _____, _____
What is the factorization of the polynomial? (2 points)

Answer 1

• zeros: x = 1, x = 3
• y = (x -1)(x -3)

Explanation:

The zeros are the x-values where the graph crosses the x-axis (y=0; That's why it is called a "zero.") The graph crosses y=0 at x=1 and x=3.

A factor of the polynomial is zero at each zero. Hence the factorization is ...

y = (x -1)(x -3)

The first factor is zero at x=1; the second factor is zero at x=3.