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 does it mean when an expression can't be factored?

Back

It means that the expression cannot be expressed as a product of simpler expressions, often because it is already in its simplest form.

Front

How do you combine like terms in an expression?

Back

To combine like terms, identify terms that have the same variable raised to the same power and add or subtract their coefficients.

Front

What is the factored form of 12x + 9?

Back

3(4x + 3) is the factored form of 12x + 9.

Front

What is the result of factoring 14x + 20?

Back

The factored form is 2(7x + 10).

Front

What is the sum of 9x and 8x?

Back

The sum is 17x.

Front

What is the first step in factoring an expression?

Back

The first step is to look for the greatest common factor (GCF) among the terms.

Front

What is a polynomial?

Back

A polynomial is an algebraic expression that consists of variables, coefficients, and non-negative integer exponents.

Front

What is the difference between a monomial and a binomial?

Back

A monomial is an expression with one term, while a binomial is an expression with two terms.

Front

How do you factor out the GCF from an expression?

Back

To factor out the GCF, divide each term of the expression by the GCF and write it outside of parentheses.