Factor GCF 2

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 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: 17xy - x

Back

x(17y - 1)

Front

What does it mean to factor an expression completely?

Back

Factoring completely means breaking down an expression into its simplest factors, which cannot be factored further.

Front

Factor the expression: 12x² - 36x + 24

Back

12(x - 2)(x - 1)

Front

What is a polynomial?

Back

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

Front

Factor the expression: 56a³ - 8a

Back

8a(7a² - 1)

Front

What is the difference between factoring by GCF and factoring completely?

Back

Factoring by GCF involves finding the greatest common factor of the terms, while factoring completely involves breaking down the expression into irreducible factors.

Front

Factor the expression: -p² + 14p

Back

-p(p - 14)

Front

What is the significance of factoring in algebra?

Back

Factoring helps simplify expressions, solve equations, and find roots of polynomials.