Classifying, Adding, and Subtracting Polynomials

Front

What is 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 leading coefficient of a polynomial?

Back

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

Front

How do you determine the degree of a polynomial?

Back

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

Front

What is standard form of a polynomial?

Back

A polynomial is in standard form when its terms are arranged in descending order of their degrees.

Front

What is the sum of the polynomials (x^3 + 6x - 5) and (-6x^2 + 4x + 3)?

Back

x^3 - 6x^2 + 10x - 2.

Front

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

Back

5.

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

What is the process of adding polynomials?

Back

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

Front

What is a like term in polynomials?

Back

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

Front

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

Back

3x^2 - 4x + 6.