Factoring Polynomials

Front

What is factoring in mathematics?

Back

Factoring is the process of breaking down an expression into a product of simpler factors that, when multiplied together, give the original expression.

Front

What does GCF stand for in factoring?

Back

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

Front

Factor completely: 2x² - 2x - 6

Back

2(x² - x - 3) or 2(x + 3)(x - 1)

Front

Factor: k² + 7k + 10

Back

(k + 2)(k + 5)

Front

Factor: 4n² - 17n - 15

Back

(n - 5)(4n + 3)

Front

What is the first step when factoring polynomials?

Back

Find the GCF.

Front

Factor completely: 3x² + 18x + 15

Back

3(x + 5)(x + 1)

Front

What is a polynomial?

Back

A polynomial is a mathematical expression consisting of variables, coefficients, and non-negative integer exponents.

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.

Front

What is the standard form of a polynomial?

Back

The standard form of a polynomial is written in descending order of the degree of its terms.