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 does GCF stand for in polynomials?

Back

GCF stands for Greatest Common Factor, which is the largest factor that divides all terms of a polynomial.

Front

How do you find the GCF of 12t^3, 30t^2, and 48t?

Back

The GCF is 6t.

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

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

Back

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

Front

What is the first step in factoring a polynomial?

Back

Identify the GCF of all the terms in the polynomial.

Front

Factor using GCF: w^3 + 3w

Back

w(w^2 + 3)

Front

What is the GCF of the coefficients 12, 30, and 48?

Back

The GCF is 6.

Front

What is the degree of the polynomial 5k^3 + 7k^2 + k?

Back

The degree is 3, which is the highest exponent.