Algebra: 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: 3x² - 11x + 6 = 0

Back

x = 2/3 and x = 3

Front

Solve by factoring: 4m² - 100 = 0

Back

m = 5 and m = -5

Front

What does it mean to solve an equation by factoring?

Back

To solve an equation by factoring means to express the equation in a factored form and then use the zero product property to find the values of the variable.

Front

Solve by factoring: 2x² + 7x + 6 = 0

Back

x = -3/2 and x = -2

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: n² - 2n = 0

Back

n = 2 and n = 0

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is ax² + bx + c = 0.

Front

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

Back

1. Write the equation in standard form. 2. Factor the quadratic expression. 3. Set each factor equal to zero. 4. Solve for the variable.