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 two or more numbers or terms.

Front

How do you find the GCF of two terms?

Back

To find the GCF of two terms, identify the common factors in their coefficients and the lowest power of any common variables.

Front

Factor the polynomial: 2n^3 + 16n + 12

Back

2(n^3 + 8n + 6)

Front

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

Back

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

Front

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

Back

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

Front

Factor the polynomial: w^3 + 3w

Back

w(w^2 + 3)

Front

Factor the polynomial: 56a^3 - 8a

Back

8a(7a^2 - 1)

Front

What is the significance of factoring polynomials?

Back

Factoring polynomials simplifies expressions and helps in solving equations by finding roots.

Front

What is a monomial?

Back

A monomial is a polynomial with only one term, which can be a constant, a variable, or a product of constants and variables.