Classifying, Adding/Subtracting, and Multiplying Polynomials

Front

What is a polynomial?

Back

A polynomial is a mathematical expression that consists of variables, coefficients, and non-negative integer exponents. For example, 3x^2 + 2x + 1 is a polynomial.

Front

What does it mean to write a polynomial in descending order?

Back

Writing a polynomial in descending order means arranging the terms from the highest degree to the lowest degree. For example, 2x^3 + 9x^2 + 5x + 27 is in descending order.

Front

How do you classify a polynomial with two terms?

Back

A polynomial with two terms is called a binomial. For example, 3x^2 - 5 is a binomial.

Front

What is the degree of a polynomial?

Back

The degree of a polynomial is the highest exponent of the variable in the expression. For example, in the polynomial 4x^3 + 2x^2 + 5, the degree is 3.

Front

What is the sum of the polynomials 2x^2 + 3x and 4x^2 - x?

Back

The sum is 6x^2 + 2x.

Front

What is the difference between the polynomials 5x^3 + 2x and 3x^3 - 4x?

Back

The difference is 2x^3 + 6x.

Front

How do you multiply the polynomials (x + 2) and (x + 3)?

Back

The product is x^2 + 5x + 6.

Front

What is a monomial?

Back

A monomial is a polynomial with only one term. For example, 7x^4 is a monomial.

Front

What is a trinomial?

Back

A trinomial is a polynomial with three terms. For example, x^2 + 4x + 4 is a trinomial.

Front

How do you find the perimeter of a rectangle with length 5x and width 3x?

Back

The perimeter is 2(length + width) = 2(5x + 3x) = 16x.