Factoring Polynomials

Front

What is factoring in mathematics?

Back

Factoring is the process of breaking down an expression into simpler components, called factors, that when multiplied together give the original expression.

Front

What does GCF stand for?

Back

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

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: 2n^2 - 8n^3

Back

2n^2(1 - 4n)

Front

Factor the expression: 12x - 40 using the GCF.

Back

4(3x - 10)

Front

Factor the expression: 7x + 21 using the GCF.

Back

7(x + 3)

Front

Factor the expression: x^2 - 5x using the GCF.

Back

x(x - 5)

Front

Factor the expression: 8n^3 + 2n^2 using the GCF.

Back

2n^2(4n + 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

What is a monomial?

Back

A monomial is a polynomial with only one term.