Adding and Subtracting Polynomials Review

Front

What is a polynomial?

Back

A polynomial is a mathematical expression consisting 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?

Back

Like terms are terms in a polynomial that have the same variable raised to the same power.

Front

How do you find the leading coefficient of a polynomial?

Back

The leading coefficient is the coefficient of the term with the highest degree in the polynomial.

Front

What is the degree of a polynomial?

Back

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

Front

How do you combine like terms in a polynomial?

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 adding (2x + 5y) + (3x - 2y)?

Back

The result is 5x + 3y.

Front

What is the result of subtracting (3 - 2x + 2x²) - (4x - 5 + 3x²)?

Back

The result is -x² - 6x + 8.

Front

What is the result of adding (3x - 2) + (3x² + 6x)?

Back

The result is 3x² + 9x - 2.