Factoring Algebraic Expressions

Front

Define Factoring in Algebra.

Back

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

Front

What is the Greatest Common Factor (GCF)?

Back

The Greatest Common Factor (GCF) is the largest factor that two or more numbers share.

Front

Factor the expression: 12x - 20.

Back

4(3x - 5)

Front

True or False: 2x + 6 = 2(x + 3) is a valid equation.

Back

True

Front

Factor the expression: -8x - 10.

Back

-2(4x + 5)

Front

Factor the expression: 8x - 12.

Back

4(2x - 3)

Front

Factor the expression: 2x + 8.

Back

2(x + 4)

Front

What does it mean to 'factor out' a common term?

Back

To 'factor out' a common term means to extract the GCF from an expression, simplifying it into a product of the GCF and another expression.

Front

What is a binomial?

Back

A binomial is a polynomial that contains exactly two terms.

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.