Question

The factors of a polynomial are (x + 3)(x - 2)(x + 7). The polynomial has been graphed. How do the zeros relate to the factors?

Responses
A The zero is the sum of the numbers inside the parenthesis.The zero is the sum of the numbers inside the parenthesis.
B There is no relationship between the factors and the zeros.There is no relationship between the factors and the zeros.
C The number inside each parenthesis are the zeros of the equation.The number inside each parenthesis are the zeros of the equation.
D If you set each factor equal to 0 and solved you would get the zeros.

Answer 1

Answer: D) If you set each factor equal to 0 and solved, you would get the zeros.

Explanation:

The correct answer is:

D) If you set each factor equal to 0 and solved, you would get the zeros.

In the given polynomial, (x + 3)(x - 2)(x + 7), the zeros or roots of the polynomial are the values of x that make each factor equal to 0 when set equal to 0 individually. So, by setting each factor equal to 0 and solving for x, you would find the zeros of the polynomial.