Adding and Subtracting Polynomials

Front

What is a polynomial?

Back

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

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 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

What is the standard form of a polynomial?

Back

The standard form of a polynomial is written in descending order of the degree of its terms.

Front

What is the leading coefficient of a polynomial?

Back

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

Front

How many terms are in the polynomial 3x^2 + 4x - 5?

Back

There are 3 terms in the polynomial: 3x^2, 4x, and -5.

Front

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

Back

The result is 6x^3 + 2x^2.

Front

What is the result of (5x^2 - 2x + 3) - (3x^2 + 4x - 1)?

Back

The result is 2x^2 - 6x + 4.