Unit 10 Solve by Factoring

Front

What is factoring in algebra?

Back

Factoring is the process of breaking down an expression into a product of simpler expressions, called factors.

Front

What is the Zero Product Property (ZPP)?

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 by factoring: 6x² + 7x - 10 = 0

Back

x = 5/6, x = -2

Front

Solve by factoring: 16x² - 25 = 0

Back

x = 4/5, x = -4/5

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

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 solving quadratic equations.

Front

What is a factor?

Back

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

Front

Solve using the ZPP: 5x(7x - 3) = 0

Back

x = 0 and x = 3/7

Front

What is the standard form of a quadratic equation?

Back

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