4.6 (a) Solve by Factoring Lesson Check

Front

Solve: x² - 49 = 0

Back

x = -7, x = 7

Front

Solve: x² + 7x + 12 = 0

Back

x = -3, x = -4

Front

Solve for x by factoring: x² - 7x = 0

Back

x = 0, x = 7

Front

Solve: x² + 9x + 20 = 0

Back

x = -4, x = -5

Front

Solve by Factoring: 3x² + 9x - 30 = 0 (Look for a GCF first)

Back

x = 2, x = -5

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 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 is the Zero Product Property?

Back

If the product of two factors is zero, then at least one of the factors must be zero.

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 apply the Zero Product Property to find the solutions.

Front

What is the GCF (Greatest Common Factor)?

Back

The GCF is the largest factor that divides two or more numbers without leaving a remainder.