Factoring a Polynomial Given a Zero (4.4.2)

Question 1

• A zero of a polynomial is a point where the graph crosses the x-axis. Also, if you substitute that point into the polynomial, its value equals 0; i.e., f (x) = 0 for (x – c).

Answer 1

• A zero of a polynomial is a point where the graph crosses the x-axis. Also, if you substitute that point into the polynomial, its value equals 0; i.e., f (x) = 0 for (x – c).

Question 2

• The factor theorem states that (x – c) is a factor of f (x) if f (c) = 0.

Answer 2

• The factor theorem states that (x – c) is a factor of f (x) if f (c) = 0.