Factoring Polynomials

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 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 does GCF stand for?

Back

GCF stands for Greatest Common Factor, which is the largest factor that two or more numbers have in common.

Front

How do you find the GCF of two numbers?

Back

To find the GCF, list the factors of each number and identify the largest factor that appears in both lists.

Front

Factor the expression: 5ab²c¹¹ + 2bc⁵

Back

bc⁵(5abc⁶ + 2)

Front

Factor the expression: 4x + 6

Back

2(2x + 3)

Front

What is the GCF of 5x² + 20x?

Back

5x

Front

Find the GCF of 6x⁴y³ - 12x⁴y² + 6x³y².

Back

6x³y²

Front

What is the GCF of 3x² - 9x - 120?

Back

3

Front

What is the difference between factoring and expanding?

Back

Factoring is breaking down an expression into its factors, while expanding is multiplying out the factors to get the original expression.