Adding and Subtracting Polynomials

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 add polynomials?

Back

Adding polynomials involves combining like terms from two or more polynomial expressions to form a new polynomial.

Tags

CCSS.HSA.APR.A.1

Front

What are like terms in polynomials?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3x^2 and 5x^2 are like terms.

Tags

CCSS.6.EE.A.2B

Front

How do you subtract polynomials?

Back

To subtract polynomials, you distribute the negative sign to the terms of the polynomial being subtracted and then combine like terms.

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 exponents.

Front

Simplify: (4n^4 - 8n + 4) - (8n^2 + 4n^4 + 1)

Back

-8n^2 - 8n + 3

Tags

CCSS.HSA.APR.A.1

Front

What is the result of adding (3x^3 + 3x^2 - 4x + 5) and (x^3 - 2x^2 + x - 4)?

Back

4x^3 + 1x^2 - 3x + 1

Tags

CCSS.HSA.APR.A.1

Front

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

Back

2x^3 - 6x^2 + 9x

Tags

CCSS.HSA.APR.A.1

Front

What is the result of adding (3x - 2) and (3x^2 + 6x)?

Back

3x^2 + 9x - 2

Tags

CCSS.HSA.APR.A.1

Front

What is the degree of a polynomial?

Back

The degree of a polynomial is the highest power of the variable in the polynomial.