1st Flashcard 5 review solving by factoring, GCF

Front

What is the method of checking your work when factoring?

Back

FOIL or box.

Front

What is the first question to ask when factoring a polynomial?

Back

Is there a GCF?

Front

Factor completely: 3x² + 18x + 15

Back

3(x + 5)(x + 1)

Front

Solve: 16a² - 9 = 0

Back

a = {-3/4, 3/4}

Front

Solve: n² - 2n = 0

Back

n = 2 and 0

Front

What does GCF stand for?

Back

Greatest Common Factor.

Front

How do you find the GCF of two numbers?

Back

List the factors of each number and find the largest factor they have in common.

Front

What is the purpose of factoring in algebra?

Back

To simplify expressions and solve equations.

Front

What is the difference between factoring and expanding?

Back

Factoring breaks down an expression into simpler components, while expanding multiplies out the components.

Front

What is a polynomial?

Back

An expression consisting of variables and coefficients, combined using addition, subtraction, multiplication, and non-negative integer exponents.