Factoring

Front

What is factoring in mathematics?

Back

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

Front

What is the GCF (Greatest Common Factor)?

Back

The GCF is the largest factor that two or more numbers have in common. It is used to simplify expressions by factoring out the GCF.

Front

Factor completely: k² - 2k - 24

Back

(k + 4)(k - 6)

Front

Factor out the GCF: 12x + 6

Back

6(2x + 1)

Front

What does it mean to factor out the GCF?

Back

To factor out the GCF means to divide each term of the expression by the GCF and express the original expression as a product of the GCF and the remaining terms.

Front

Factor completely: 3x² - 9x - 120

Back

3(x - 8)(x + 5)

Front

Which expression is equivalent to (x - 3)(x - 3)?

Back

(x - 3)²

Front

Factor out the GCF: 10x³ - 15x

Back

5x(2x² - 3)

Front

What is a polynomial?

Back

A polynomial is a mathematical expression that consists of variables, coefficients, and non-negative integer exponents, combined using addition, subtraction, and multiplication.

Front

What is the difference between a monomial and a binomial?

Back

A monomial is an algebraic expression with one term, while a binomial has two terms.