Solve by Factoring

Front

What is factoring in algebra?

Back

Factoring is the process of breaking down an expression into simpler components (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: (x - 3)(x + 6) = 0

Back

x = 3 or x = -6

Front

Solve by factoring: x² - 9x + 20 = 0

Back

x = 4 or x = 5

Front

What is a quadratic equation?

Back

A quadratic equation is a polynomial equation of degree 2, typically in the form ax² + bx + c = 0.

Front

Solve by factoring: x² + 3x - 18 = 0

Back

x = 3 or x = -6

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: 5x² + 13x + 6 = 0

Back

x = -2 or x = -3/5

Front

What does it mean for an equation to be factorable?

Back

An equation is factorable if it can be expressed as a product of its factors, allowing it to be solved using the Zero Product Property.

Front

Solve by factoring: x³ - 2x² - 4x + 8 = 0

Back

x = 2 or x = -2