Unit 4 Flashcard

Front

What is the Greatest Common Factor (GCF)?

Back

The GCF is the largest positive integer that divides all the given numbers without leaving a remainder.

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 and rewrite the expression as the product of the GCF and the remaining terms.

Front

Factor out the GCF: 3x^3 + 9x

Back

3x(x^2 + 3)

Front

What is the first step in factoring an expression?

Back

Identify the GCF of all the terms in the expression.

Front

What does it mean to factor an expression?

Back

Factoring an expression means rewriting it as a product of its factors.

Front

What is the GCF of 12 and 16?

Back

The GCF of 12 and 16 is 4.

Front

Factor out the GCF: 5x^2 + 10x

Back

5x(x + 2)

Front

What is the difference between factoring and expanding an expression?

Back

Factoring breaks an expression into its factors, while expanding multiplies out the factors to form the original expression.

Front

Factor out the GCF: 8y^3 + 12y^2

Back

4y^2(2y + 3)

Front

What is a polynomial?

Back

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