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.

Tags

CCSS.HSA.APR.A.1

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.

Tags

CCSS.HSA.APR.A.1

Front

What is a like term in polynomials?

Back

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

Tags

CCSS.6.EE.A.2B

Front

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

Back

3x^2 - 4x + 6.

Tags

CCSS.HSA.APR.A.1