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 of two or more numbers or terms is the largest number or term that divides each of them without leaving a remainder.

Front

How do you find the GCF of polynomials?

Back

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

Front

Factor the polynomial: 5k^3 + 7k^2 + k

Back

k(5k^2 + 7k + 1)

Front

Factor the polynomial: 12x + 9

Back

3(4x + 3)

Front

What is the GCF of 12t^3 + 30t^2 + 48t?

Back

6t

Front

Factor the polynomial: 24c^5 - 12c^3

Back

12c^3(2c^2 - 1)

Front

Factor the polynomial: 2n^2 - 8n^3

Back

2n^2(1 - 4n)

Front

What is the difference between a monomial and a polynomial?

Back

A monomial is a polynomial with only one term, while a polynomial can have multiple terms.