Factoring Expressions

Front

What is factoring in algebra?

Back

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

Front

What is the greatest common factor (GCF)?

Back

The greatest common factor (GCF) is the largest factor that two or more numbers share. It is used in factoring to simplify expressions.

Front

How do you factor the expression 9x - 81?

Back

You can factor out the GCF, which is 9, resulting in 9(x - 9).

Front

What is the factored form of 12x - 20?

Back

The factored form is 4(3x - 5), where 4 is the GCF.

Front

How do you factor the expression -21x + 35?

Back

Factor out the GCF, which is 7, resulting in 7(-3x + 5).

Front

What is the factored form of 4x - 16?

Back

The factored form is 4(x - 4), where 4 is the GCF.

Front

How do you factor the expression 16 + 24x?

Back

Factor out the GCF, which is 8, resulting in 8(2 + 3x).

Front

What is a binomial expression?

Back

A binomial expression is a polynomial that contains exactly two terms, such as x + 1 or 3x - 5.

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 is breaking down an expression into its factors, while expanding is multiplying out the factors to get back to the original expression.