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 are like terms in a polynomial?

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 add polynomials?

Back

To add polynomials, combine like terms by adding their coefficients while keeping the variable part the same.

Front

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

Back

9x + 14

Front

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

Back

7x + 5y

Front

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

Back

12m - 8n

Front

How do you simplify (12x + 7) + (3x + 8)?

Back

Combine like terms to get 15x + 15.

Front

What is the result of (6x + 3) + (-2x + 5)?

Back

4x + 8

Front

What is the degree of a polynomial?

Back

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

Front

What is a coefficient in a polynomial?

Back

A coefficient is a numerical factor in a term of a polynomial. For example, in 4x^2, 4 is the coefficient.