Solve by Factoring

Front

What is factoring in algebra?

Back

Factoring is the process of breaking down an expression into simpler components, or factors, that when multiplied together give the original expression.

Front

What is the zero product property?

Back

The zero product property states that if the product of two factors is zero, then at least one of the factors must be zero.

Front

Solve by factoring: x² - 9x + 20 = 0

Back

x = 4 and x = 5

Front

Solve by factoring: n² - 2n = 0

Back

n = 2 and n = 0

Front

What are the steps to solve a quadratic equation by factoring?

Back

1. Set the equation to zero. 2. Factor the quadratic expression. 3. Apply the zero product property. 4. Solve for the variable.

Front

Solve by factoring: 2x² - 5x - 12 = 0

Back

x = 4 and x = -3/2

Front

What does it mean to solve for x?

Back

To solve for x means to find the value(s) of x that make the equation true.

Front

What is a quadratic equation?

Back

A quadratic equation is a polynomial equation of the form ax² + bx + c = 0, where a, b, and c are constants and a ≠ 0.

Front

Solve by factoring: x² + 6x + 8 = 0

Back

x = -2 and x = -4

Front

What is a factor?

Back

A factor is a number or expression that divides another number or expression evenly, without leaving a remainder.