Factoring Review

Front

What is the Greatest Common Factor (GCF)?

Back

The GCF is the largest factor that two or more numbers share. It is used to simplify expressions and factor polynomials.

Front

How do you factor out the GCF from an expression?

Back

To factor out the GCF, identify the largest factor common to all terms in the expression, then divide each term by the GCF and write the expression as the GCF multiplied by the resulting polynomial.

Front

Factor out the GCF: 12x + 6

Back

6(2x + 1)

Front

What is the first step in factoring a polynomial completely?

Back

The first step is to factor out the GCF from all terms in the polynomial.

Front

Factor completely: 3x² + 18x + 15

Back

3(x + 5)(x + 1)

Front

What does it mean to factor a polynomial completely?

Back

Factoring a polynomial completely means breaking it down into irreducible factors, where no further factoring is possible.

Front

Factor out the GCF: 10x³ - 15x

Back

5x(2x² - 3)

Front

What is a polynomial?

Back

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

Front

Factor: 2m² + 3m - 9

Back

(m + 3)(2m - 3)

Front

What is the standard form of a quadratic polynomial?

Back

The standard form of a quadratic polynomial is ax² + bx + c, where a, b, and c are constants and a ≠ 0.