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 a common factor?

Back

A common factor is a number or expression that divides two or more numbers or expressions without leaving a remainder.

Front

Factor the expression: 60x²y - 3xy

Back

3xy(20x - 1)

Front

Factor the expression: 5x - 25

Back

5(x - 5)

Front

What is the greatest common factor (GCF)?

Back

The greatest common factor is the largest factor that two or more numbers or expressions share.

Front

Factor the expression: 6n³ - 9n² + 12n

Back

3n(2n² - 3n + 4)

Front

What does it mean to factor an expression completely?

Back

Factoring an expression completely means breaking it down into its simplest factors, which cannot be factored further.

Front

Factor the expression: 6m + 2n - 14

Back

2(3m + n - 7)

Front

What is a polynomial?

Back

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

Front

Factor the expression: -8x² + 26x

Back

2x(-4x + 13)