Factoring Expressions

Front

What is factoring in mathematics?

Back

Factoring is the process of breaking down an expression into a product of simpler expressions, called factors.

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 9x + 12?

Back

3(3x + 4)

Front

What is the factored form of 8w^3 + 16w^2 + 4w?

Back

4w(2w^2 + 4w + 1)

Front

What is the factored form of 6n^3 - 9n^2 + 12n?

Back

3n(2n^2 - 3n + 4)

Front

How do you factor the expression 60x^2y - 3xy?

Back

3xy(20x - 1)

Front

What is the factored form of 15x + 50xy?

Back

5x(3 + 10y)

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 does it mean to simplify an expression?

Back

Simplifying an expression means to reduce it to its simplest form by combining like terms and removing parentheses.

Front

What is a binomial?

Back

A binomial is a polynomial with exactly two terms.