AA-Factoring Polynomials

Front

What is factoring in mathematics?

Back

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

Front

What is the GCF (Greatest Common Factor)?

Back

The GCF of two or more numbers is the largest number that divides all of them without leaving a remainder.

Front

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

Back

2n^2(1 - 4n)

Front

Find the factors of the quadratic expression: x^2 - 5x - 36

Back

(x + 4)(x - 9)

Front

Factor the difference of squares: x^2 - 64

Back

(x + 8)(x - 8)

Front

Factor the quadratic expression: n^2 - 13n + 40

Back

(n - 5)(n - 8)

Front

What is a polynomial?

Back

A polynomial is a mathematical expression that consists of variables, coefficients, and non-negative integer exponents, combined using addition, subtraction, and multiplication.

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, from the highest degree to the lowest.

Front

What does it mean for a polynomial to be factored completely?

Back

A polynomial is factored completely when it is expressed as a product of irreducible polynomials, meaning it cannot be factored further.

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.