8-2: Review for Mid Unit Assessment Check

Front

What is the Greatest Common Factor (GCF)?

Back

The GCF is the largest number that divides two or more numbers without leaving a remainder.

Front

How do you find the GCF of two or more terms?

Back

1. List the factors of each term. 2. Identify the common factors. 3. Choose the largest common factor.

Front

Factor out the GCF: 10x² + 15x - 5

Back

5(2x² + 3x - 1)

Front

Factor out the GCF: 2x² + 16x + 12

Back

2(x² + 8x + 6)

Front

Factor out the GCF: x¹⁰ + 5x⁷ - 4x⁴

Back

x⁴(x⁶ + 5x³ - 4)

Front

Factor out the GCF: 3x³ + 9x² - 15x

Back

3x(x² + 3x - 5)

Front

What is the first step in factoring out the GCF from a polynomial?

Back

Identify the GCF of all the terms in the polynomial.

Front

What does it mean to factor a polynomial?

Back

Factoring a polynomial means rewriting it as a product of its factors.

Front

Why is factoring important in algebra?

Back

Factoring simplifies expressions and helps solve equations more easily.

Front

What is a polynomial?

Back

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