Factoring

Front

Define 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 difference of squares formula?

Back

The difference of squares formula states that a² - b² = (a + b)(a - b).

Front

Factor the expression: x² - 25.

Back

(x + 5)(x - 5) - This is an example of the difference of squares.

Front

What is the GCF (Greatest Common Factor)?

Back

The GCF is the largest factor that divides two or more numbers.

Front

Factor out the GCF from: 10x³ - 15x.

Back

5x(2x² - 3).

Front

What does it mean to solve a quadratic equation?

Back

To solve a quadratic equation means to find the values of x that make the equation true.

Front

Solve for x: (x - 5)(x + 6) = 0.

Back

x = 5 or x = -6.

Front

What is a quadratic equation?

Back

A quadratic equation is a polynomial equation of the form ax² + bx + c = 0, where a ≠ 0.

Front

Factor the expression: x² - 6x - 7.

Back

(x + 1)(x - 7).

Front

What is the purpose of factoring in solving equations?

Back

Factoring simplifies equations, making it easier to find solutions.