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.

Front

What does it mean to subtract polynomials?

Back

Subtracting polynomials involves taking the difference between two polynomial expressions by combining like terms after distributing the negative sign.

Front

What are like terms in polynomials?

Back

Like terms are terms that have the same variable raised to the same power. They can be combined by adding or subtracting their coefficients.

Front

How do you combine like terms?

Back

To combine like terms, add or subtract the coefficients of the terms that have the same variable and exponent.

Front

What is the result of (3x + 4y - 3z) - (2x - 6y + 7z)?

Back

x + 10y - 10z

Front

What is the result of (4n^4 - 8n + 4) - (8n^2 + 4n^4 + 1)?

Back

-8n^2 - 8n + 3

Front

What is the result of (2x + 5y) + (3x - 2y)?

Back

5x + 3y

Front

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

Back

-x^2 - 6x + 8

Front

What is the result of (3y^2 + y^3 - 5) + (4y^2 - 4y + 2y^3 + 8)?

Back

3y^3 + 7y^2 - 4y + 3