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 share. It is used to simplify expressions by factoring out the GCF.

Front

Factor the expression: 12x - 20

Back

4(3x - 5)

Front

Factor in simplest form: 6x + 12

Back

6(x + 2)

Front

Factor completely: 12 - 4b

Back

4(3 - b)

Front

Factor: 4x + 30

Back

2(2x + 15)

Front

Factor completely: -9u + (-81)

Back

-9(u + 9)

Front

What does it mean to factor an expression completely?

Back

Factoring completely means breaking down an expression into its simplest factors, such that no further factoring is possible.

Front

What is a binomial?

Back

A binomial is a polynomial that contains exactly two terms, such as x + 5 or 3x - 2.

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.