Polynomials greatest common factor

Front

What is a polynomial?

Back

A polynomial is a mathematical expression consisting of variables, coefficients, and non-negative integer exponents, combined using addition, subtraction, and multiplication.

Front

What is the degree of a polynomial?

Back

The degree of a polynomial is the highest power of the variable in the expression.

Front

What is the greatest common factor (GCF)?

Back

The GCF is the largest polynomial that divides each term of a polynomial without leaving a remainder.

Front

How do you find the GCF of two or more polynomials?

Back

To find the GCF, factor each polynomial and identify the common factors, then multiply them together.

Front

Factor the polynomial: 5k³ + 7k² + k

Back

k(5k² + 7k + 1)

Front

Factor the polynomial: 2n³ + 16n + 12

Back

2(n³ + 8n + 6)

Front

Factor the polynomial: 12x + 9

Back

3(4x + 3)

Front

Factor the polynomial: 56a³ - 8a

Back

8a(7a² - 1)

Front

What is the GCF of 12t³ + 30t² + 48t?

Back

6t

Front

What is the leading coefficient of a polynomial?

Back

The leading coefficient is the coefficient of the term with the highest degree in the polynomial.