Adding Polynomials

Front

What is a polynomial?

Back

A polynomial is a mathematical expression consisting of variables, coefficients, and non-negative integer exponents, combined using addition, subtraction, and multiplication.

Front

How do you classify a polynomial with three terms?

Back

A polynomial with three terms is classified as a trinomial.

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 classify a polynomial with two terms?

Back

A polynomial with two terms is classified as a binomial.

Front

Is 5xy^-8 a polynomial? Why or why not?

Back

No, 5xy^-8 is not a polynomial because it contains a negative exponent.

Front

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

Back

The sum is 2x^3 - 6x^2 + 9x.

Front

What is the leading coefficient of the polynomial 4x^2 + 5x - 7?

Back

The leading coefficient is 4, which is the coefficient of the term with the highest degree.

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 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 add polynomials?

Back

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