Factoring Expressions

Front

What is factoring in algebra?

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 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: 17xy - x

Back

x(17y - 1)

Front

Can the expression 7x + 48y be factored?

Back

No, it cannot be factored.

Front

Factor the expression: -6z + 42

Back

-6(z - 7)

Front

What does it mean to combine like terms?

Back

Combining like terms means to simplify an expression by adding or subtracting terms that have the same variable raised to the same power.

Front

Simplify the expression: x - 53 - 4x - w + 6x + 8

Back

3x - w - 45

Front

Factor the expression: 4x + 30y

Back

2(2x + 15y)

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by two or more terms inside a set of parentheses.

Front

What is a polynomial?

Back

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