Add/Subtract/Multiply Polynomials (midterm review)

Front

Define a polynomial.

Back

A polynomial is a mathematical expression consisting of variables (also called indeterminates) raised to non-negative integer powers and coefficients, 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 polynomial.

Front

How do you add polynomials?

Back

To add polynomials, combine like terms by adding their coefficients.

Front

How do you subtract polynomials?

Back

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

Front

What are like terms?

Back

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

Front

Simplify the expression: (4n^4 - 8n + 4) - (8n^2 + 4n^4 + 1).

Back

-8n^2 - 8n + 3.

Front

Simplify the expression: (6b^3 + 6 - b^4) - (8b^3 - 6b^4 + 2).

Back

5b^4 - 2b^3 + 4.

Front

Add the polynomials: (2x + 5y) + (3x - 2y).

Back

5x + 3y.

Front

Multiply the polynomials: (2x - 1)(x + 2).

Back

2x^2 + 3x - 2.

Front

Multiply the polynomials: (x + 2)(x + 3).

Back

x^2 + 5x + 6.