Factoring Expressions

Front

What is factoring in mathematics?

Back

Factoring is the process of breaking down an expression into simpler components, called 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

How do you factor the expression 16 + 24x?

Back

8(2 + 3x)

Front

What is the factored form of 6x - 3?

Back

3(2x - 1)

Front

What is the factored form of 12x - 20?

Back

4(3x - 5)

Front

How do you factor the expression -9u + (-81)?

Back

-9(u + 9)

Front

What is the factored form of 4x + 30?

Back

2(2x + 15)

Front

What does it mean to factor completely?

Back

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

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 involves breaking down an expression into products, while expanding involves multiplying out the factors to get the original expression.