Polynomial Degrees and Terms

Questions and Answers

What is the degree?

highest exponent of a variable

How do you find the number of terms?

Combine the like terms first.

What is a polynomial with degree = 0?

constant

What is a polynomial with degree = 1?

linear Signup and view all the answers

What is a polynomial with degree = 2?

Quadratic Signup and view all the answers

What is a polynomial with degree = 3?

cubic Signup and view all the answers

What is a polynomial when the degree is n>3?

nth degree Signup and view all the answers

What is a term when term = 1?

monomial Signup and view all the answers

What is a term when term = 2?

binomial Signup and view all the answers

What is a term when term = 3?

trinomial Signup and view all the answers

What is a term when term = n>3?

Polynomial with nth term Signup and view all the answers

Study Notes

Degrees of a Polynomial

The degree of a polynomial is determined by the highest exponent of its variable.
A polynomial with degree 0 is known as a constant, as it has no variable component.
A polynomial with degree 1 is referred to as linear, representing a straight line when graphed.
A polynomial with degree 2 is called quadratic, which typically forms a parabolic shape.
A polynomial with degree 3 is known as cubic, often resulting in an S-shaped curve.
A polynomial with a degree greater than 3 is designated as an nth degree polynomial.

Number of Terms

To find the number of terms in a polynomial, rearrange the expression by combining like terms first.
A polynomial with one term is called a monomial.
A polynomial with two terms is called a binomial.
A polynomial with three terms is identified as a trinomial.
If a polynomial has n terms greater than 3, it is known as a polynomial with nth term.

Description

Test your knowledge on the degrees of polynomials and the classification of polynomials based on the number of terms. This quiz covers concepts such as constant, linear, quadratic, cubic polynomials, and more. Dive in to see how well you understand polynomial structures!