Solving 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 or more factors is zero, at least one of the factors must be zero.

Front

Solve for a by factoring: a² + 2a - 24 = 0

Back

a = -6, and a = 4

Front

Solve by factoring: 5x² + 13x + 6 = 0

Back

x = -2 and x = -3/5

Front

Solve by factoring: 2x² - 5x - 12 = 0

Back

x = 4 and x = -3/2

Front

Solve: 4x² - 20x + 25 = 0

Back

x = 5/2

Front

Factor: 49x² - 100 = 0

Back

x = 10/7 and x = -10/7

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

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

What does it mean to 'set the equation to zero'?

Back

Setting the equation to zero means rearranging the equation so that one side equals zero, which is necessary for factoring.