Adding and Subtracting Polynomials

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. For example, (5x + 2) + (4x + 5) simplifies to 9x + 7.

Front

What is the result of simplifying (6b^3 + 6 - b^4) - (8b^3 - 6b^4 + 2)?

Back

The result is 5b^4 - 2b^3 + 4.

Front

What is the product of 2x and (-2x - 3)?

Back

The product is -4x^2 - 6x.

Front

What is the degree of the polynomial 5x^5 - 6x^6 + 2?

Back

The degree of the polynomial is 6.

Front

What is a polynomial?

Back

A polynomial is a mathematical expression that consists of variables, coefficients, and non-negative integer exponents.

Front

What are the steps to add polynomials?

Back

1. Remove parentheses if necessary. 2. Combine like terms by adding their coefficients.

Front

What is the difference between a monomial and a polynomial?

Back

A monomial is a polynomial with only one term, while a polynomial can have multiple terms.

Front

How do you subtract polynomials?

Back

To subtract polynomials, distribute the negative sign and then combine like terms.

Front

What is the coefficient in the term 7x^2?

Back

The coefficient is 7.