NC Math 3 Polynomial Review

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 does it mean to factor a polynomial?

Back

Factoring a polynomial means expressing it as a product of its factors, which are polynomials of lower degrees.

Front

What is the difference of cubes formula?

Back

The difference of cubes formula is a^3 - b^3 = (a - b)(a^2 + ab + b^2).

Tags

CCSS.6.EE.A.2C

Front

What is the sum of cubes formula?

Back

The sum of cubes formula is a^3 + b^3 = (a + b)(a^2 - ab + b^2).

Tags

CCSS.6.EE.A.2C

Front

How do you find the volume of a box formed by folding up a cardboard piece?

Back

The volume of the box is calculated by multiplying the length, width, and height of the box after the corners are cut and folded up.

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2

Front

What is the process for subtracting polynomials?

Back

To subtract polynomials, distribute the negative sign to the second polynomial and then combine like terms.

Tags

CCSS.HSA.APR.A.1

Front

What is a quadratic polynomial?

Back

A quadratic polynomial is a polynomial of degree 2, typically in the form ax^2 + bx + c, where a, b, and c are constants.

Front

What does it mean to completely factor a polynomial?

Back

Completely factoring a polynomial means breaking it down into irreducible factors over the set of real numbers.

Front

What is a leading coefficient?

Back

The leading coefficient is the coefficient of the term with the highest degree in a polynomial.

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 highest to lowest.