Factoring Completely

Front

What is factoring completely?

Back

Factoring completely is the process of breaking down a polynomial into its simplest factors, which cannot be factored further.

Front

What does GCF stand for in factoring?

Back

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

Front

Factor completely: 3x^5 - 27x^3

Back

3x^3(x - 3)(x + 3)

Front

What is the first step in factoring a polynomial?

Back

The first step is to check if there is a GCF among the terms.

Front

Factor completely: 24x^2y - 66xy^2 + 54x^2y^2

Back

6xy(4x - 11y + 9xy)

Front

Factor completely: n^2 + 16n + 63

Back

(n + 7)(n + 9)

Front

What is the purpose of factoring a polynomial?

Back

Factoring a polynomial helps to simplify expressions and solve equations more easily.

Front

Factor completely: x^2 + 13x + 40

Back

(x + 5)(x + 8)

Front

What is a polynomial?

Back

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

Front

What is the difference between a monomial, binomial, and trinomial?

Back

A monomial has one term, a binomial has two terms, and a trinomial has three terms.