Factoring Expressions

Front

What is factoring in mathematics?

Back

Factoring is the process of breaking down an expression into simpler components, or factors, that when multiplied together give the original expression.

Front

What is the greatest common factor (GCF)?

Back

The GCF is the largest factor that two or more numbers have in common.

Front

Factor the expression: 21x - 36

Back

3(7x - 12)

Front

True or False: 12x - 8 = 6(2x - 1)

Back

False

Front

What does it mean to factor out a coefficient?

Back

To factor out a coefficient means to take the common numerical factor from each term in an expression.

Front

Factor the expression: 6x + 12

Back

6(x + 2)

Front

What is a binomial?

Back

A binomial is a polynomial that contains exactly two terms.

Front

Factor completely: 12 - 4b

Back

4(3 - b)

Front

What is a polynomial?

Back

A polynomial is a mathematical expression that consists of variables, coefficients, and exponents, combined using addition, subtraction, and multiplication.

Front

What is the difference between factoring and expanding an expression?

Back

Factoring breaks an expression into simpler parts, while expanding multiplies out the parts to form a single expression.