Zero Product Property & Factoring

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: 2x² + 32x + 30

Back

2(x + 1)(x + 15)

Front

Solve for x: (2x - 1)(x + 4) = 0

Back

x = 1/2 or x = -4

Front

What is a factor of the quadratic x² - 10x + 24?

Back

x - 4

Front

Solve for x-intercepts: 0 = x(x - 6)

Back

x = 0 and x = 6

Front

Factor the expression: n² + 16n + 63

Back

(n + 7)(n + 9)

Front

What does it mean to factor an expression?

Back

To express it as a product of its factors.

Front

What is the standard form of a quadratic equation?

Back

ax² + bx + c = 0, where a, b, and c are constants.

Front

How do you find the x-intercepts of a quadratic equation?

Back

Set the equation equal to zero and solve for x.

Front

What is the significance of the x-intercepts in a graph?

Back

They represent the points where the graph crosses the x-axis.