Zero Product Property

Front

What is the Zero Product Property?

Back

If the product of two factors is zero, then at least one of the factors must be zero.

Front

How do you apply the Zero Product Property?

Back

Set each factor equal to zero and solve for the variable.

Front

What is the leading coefficient of the polynomial 5x^2 + x - 4?

Back

5

Front

Solve for p in the equation (8p - 9)(7p + 6) = 0.

Back

p = \frac{9}{8}, p = -\frac{6}{7}

Front

Solve for x in the equation (x + 2)(x - 3) = 0.

Back

x = -2, x = 3

Front

What is the first step in solving (x + 2)(x - 3) = 0?

Back

Set each binomial factor equal to zero.

Front

Solve for q in the equation (2q + 1)(q - 9) = 0.

Back

q = -\frac{1}{2}, q = 9

Front

What does it mean if a polynomial has a leading coefficient of 0?

Back

The polynomial is not a valid polynomial function.

Front

What are the roots of a polynomial?

Back

The values of the variable that make the polynomial equal to zero.

Front

If (x - 4)(x + 5) = 0, what are the solutions for x?

Back

x = 4, x = -5