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 are the degrees of the following polynomials: 4g^2 + 2g, 3n^2 + 4n, x^3 + 3x^2 + 8x, and -2x^2 - 13x - 7?

Back

The degrees are: 4g^2 + 2g has degree 2; 3n^2 + 4n has degree 2; x^3 + 3x^2 + 8x has degree 3; -2x^2 - 13x - 7 has degree 2.

Front

How do you add two polynomials?

Back

To add two polynomials, combine like terms by adding the coefficients of terms with the same degree.

Front

How do you subtract two polynomials?

Back

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

Front

What are like terms in a polynomial?

Back

Like terms are terms that have the same variable raised to the same power, allowing their coefficients to be combined.

Front

What is the leading coefficient of a polynomial?

Back

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

Front

What is the standard form of a polynomial?

Back

The standard form of a polynomial is when the terms are arranged in descending order of their degrees.

Front

What is the difference between a monomial, binomial, and trinomial?

Back

A monomial has one term, a binomial has two terms, and a trinomial has three terms.

Front

How do you identify the degree of a polynomial?

Back

The degree of a polynomial is identified by the highest exponent of its variable.

Front

What is the result of adding the polynomials 4g^2 + 2g and 3g^2 + 5g?

Back

The result is 7g^2 + 7g.