FLASHCARDZIZ - Factoring w/GCF and Difference of Squares

Front

What is the Greatest Common Factor (GCF)?

Back

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

Front

How do you factor out the GCF from an expression?

Back

To factor out the GCF, identify the largest factor common to all terms, then divide each term by the GCF and write the expression as the GCF multiplied by the resulting expression.

Front

Factor the expression: 10x³ - 15x

Back

5x(2x² - 3)

Front

What is the difference of squares?

Back

The difference of squares is a special product that can be expressed as a² - b² = (a + b)(a - b).

Front

Factor the expression: x² - 9y²

Back

(x + 3y)(x - 3y)

Front

What is a monomial?

Back

A monomial is a polynomial with only one term, which can be a number, a variable, or a product of numbers and variables.

Front

Factor using GCF: x² - 5x

Back

x(x - 5)

Front

What does it mean for an expression to be prime in factoring?

Back

An expression is prime if it cannot be factored into simpler expressions other than 1 and itself.

Front

Factor the expression: 14x² - 35x

Back

7x(2x - 5)

Front

What is the formula for factoring a difference of squares?

Back

a² - b² = (a + b)(a - b) where a and b are any expressions.