Factoring Expressions

Front

What is factoring in mathematics?

Back

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

Front

What is a factor?

Back

A factor is a number or expression that divides another number or expression evenly, without leaving a remainder.

Front

Factor the expression: 5x - 25

Back

5(x - 5)

Front

Factor the expression: 2x - 8

Back

2(x - 4)

Front

Write the expression 7 ∙ m ∙ m ∙ m using exponents.

Back

7m^3

Front

What is a variable?

Back

A variable is a letter that represents a number in mathematical expressions.

Front

What does it mean to simplify an expression?

Back

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

Front

Factor the expression: 24 - 36 + 48

Back

12(2 - 3 + 4)

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, meaning you can distribute a factor across a sum.

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.