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

Factor the expression: k² + 7k + 10

Back

(k + 2)(k + 5)

Front

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

Back

Set each binomial factor equal to zero.

Front

What are the roots of a quadratic equation?

Back

The values of x that make the equation equal to zero.

Front

What is the standard form of a quadratic function?

Back

f(x) = ax² + bx + c

Front

What are x-intercepts?

Back

The points where a graph intersects the x-axis, corresponding to the roots of the equation.

Front

Solve for x: (x + 2)(x - 3) = 0

Back

x = -2 and 3

Front

What does it mean to factor an expression?

Back

To express it as a product of its factors.

Front

What is the significance of the Zero Product Property in solving equations?

Back

It allows us to set each factor to zero to find the solutions.

Front

What is a quadratic equation?

Back

An equation of the form ax² + bx + c = 0, where a, b, and c are constants.