Adding and Subtracting Polynomial Expressions

Front

What are like terms?

Back

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

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. For example, 2x + 3x = 5x.

Front

What is a polynomial expression?

Back

A polynomial expression is a mathematical expression that consists of variables, coefficients, and exponents, combined using addition, subtraction, and multiplication.

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 4x^3 + 2x^2 + 5, the degree is 3.

Front

How do you add polynomial expressions?

Back

To add polynomial expressions, combine like terms by adding their coefficients.

Front

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

Back

The result is 5x + 3y.

Front

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

Back

The result is x + 10y - 10z.

Front

What does it mean to subtract polynomial expressions?

Back

Subtracting polynomial expressions involves changing the signs of the terms in the second expression and then combining like terms.

Front

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

Back

The result is a^2 + 8a + 7.

Front

What are the steps to subtract polynomials?

Back

1. Distribute the negative sign to the second polynomial. 2. Combine like terms.