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 because they both contain the variable x.

Front

How do you simplify the expression 9n³ + 4n?

Back

The expression is already simplified as there are no like terms to combine.

Front

What is the result of adding the polynomials (3x³ + 3x² - 4x + 5) + (x³ - 2x² + x - 4)?

Back

The result is 4x³ + 1x² - 3x + 1.

Front

How do you simplify the expression (6b³ + 6 - b⁴) - (8b³ - 6b⁴ + 2)?

Back

The simplified expression is 5b⁴ - 2b³ + 4.

Front

What is the result of subtracting (x⁴ + 5x³ + 8x² + x + 5) from (5x⁴ - 4x³ - 2x² + x - 19)?

Back

The result is 4x⁴ - 9x³ - 10x² - 24.

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.

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 4x³ + 2x² - 5, the degree is 3.

Front

What are the steps to add polynomials?

Back

1. Align like terms. 2. Combine the coefficients of like terms. 3. Write the result as a new polynomial.

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 identify like terms in a polynomial?

Back

Like terms can be identified by checking if they have the same variable raised to the same exponent.