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 a factor?

Back

A factor is a number or algebraic expression that divides another number or expression evenly.

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 - 16

Back

(x + 4)(x - 4) - This is an example of the difference of squares.

Front

What is a trinomial?

Back

A trinomial is a polynomial with three terms, typically in the form ax² + bx + c.

Front

How do you factor a trinomial?

Back

To factor a trinomial, find two numbers that multiply to ac (the product of a and c) and add to b (the coefficient of x).

Front

Factor the expression: x² + 5x + 6

Back

(x + 2)(x + 3) - The numbers 2 and 3 multiply to 6 and add to 5.

Front

What is the greatest common factor (GCF)?

Back

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

Front

How do you factor using the GCF?

Back

To factor using the GCF, divide each term of the expression by the GCF and factor it out.

Front

Factor the expression: 6x² + 9x

Back

3x(2x + 3) - The GCF is 3x.