Adding, Subtracting, & Classifying Polynomials

Front

What is a polynomial?

Back

A polynomial is a mathematical expression consisting of variables (also called indeterminates) raised to non-negative integer powers and coefficients, combined using addition, subtraction, and multiplication.

Front

How do you classify a polynomial based on its degree?

Back

Polynomials are classified by their degree: a polynomial of degree 0 is a constant, degree 1 is linear, degree 2 is quadratic, degree 3 is cubic, degree 4 is quartic, and degree 5 or higher is quintic or higher.

Front

What is a trinomial?

Back

A trinomial is a polynomial that consists of three terms.

Front

What is the leading coefficient of a polynomial?

Back

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

Front

How do you subtract 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 the result of subtracting (6x^2 + 10x - 9) - (4x^2 - 13)?

Back

The result is 2x^2 + 10x + 4.

Tags

CCSS.HSA.APR.A.1

Front

What is the result of subtracting (4x^2 + x) - (x^2 + 2x)?

Back

The result is 3x^2 - x.

Tags

CCSS.HSA.APR.A.1

Front

What is the standard form of a polynomial?

Back

The standard form of a polynomial is when the terms are arranged in descending order of their degrees.

Front

How do you add polynomials?

Back

To add polynomials, combine like terms by adding the coefficients of terms with the same degree.

Tags

CCSS.HSA.APR.A.1

Front

What is the result of adding (12x^2 + 3x^4 - 6x - 2) + (-3x^4 + 5x + 9 - 7x^2)?

Back

The result is 5x^2 - x + 7.

Tags

CCSS.HSA.APR.A.1