Factor Polynomials by GCF

Front

What does GCF stand for in mathematics?

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 polynomial by using GCF: 8n³ + 2n²

Back

2n²(4n + 1)

Front

What is the GCF of the polynomial 2x² + 12x - 32?

Back

The GCF is 2.

Front

Factor the expression: x² - 5x

Back

x(x - 5)

Front

Factor the polynomial: 3x³ + 9x² - 15x

Back

3x(x² + 3x - 5)

Front

What is the first step in factoring a polynomial by GCF?

Back

The first step is to identify the GCF of all the terms in the polynomial.

Front

Simplify the expression: (3x²)(3x⁴y³)

Back

9x⁶y³

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 the degree of the polynomial 4x³ + 2x² - x + 7?

Back

The degree is 3, which is the highest exponent of the variable.