Adding and Subtracting Polynomials

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 and 5x are like terms, while 3x and 4y are not.

Front

How do you combine like terms?

Back

To combine like terms, add or subtract the coefficients of the terms that are alike. For example, in 3x + 5x, you add the coefficients (3 + 5) to get 8x.

Front

What is a polynomial?

Back

A polynomial is a mathematical expression that consists of variables, coefficients, and exponents, combined using addition, subtraction, and multiplication. For example, 2x^2 + 3x - 5 is a polynomial.

Front

What is the degree of a polynomial?

Back

The degree of a polynomial is the highest power of the variable in the expression. For example, in the polynomial 4x^3 + 2x^2 - x, the degree is 3.

Front

What does it mean to simplify a polynomial?

Back

Simplifying a polynomial means combining like terms and reducing the expression to its simplest form.

Front

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

Back

9x + 7

Front

What is the result of (2x + 5y - z) + (-6x - 4y + 7z)?

Back

-4x + y + 6z

Front

What is the result of (5x - y) + (2x + 6y)?

Back

7x + 5y

Front

What is the result of (3x + 7) + (6x + 7)?

Back

9x + 14

Front

What is the result of (10m - 7n) + (2m - n)?

Back

12m - 8n