Classifying Polynomials: Key Concepts and Techniques

What is a polynomial?

• An expression with many terms separated by pluses and minuses

• A number without any variables

• An equation with an equal sign

• An expression with only one term

Which of the following is an example of a polynomial?

• All of the above

• 4x^2 - 1

• 6X

• 5

What does it mean for a polynomial to be in standard form?

• Terms are arranged randomly

• Terms are arranged alphabetically

• Terms are arranged in descending order of exponents

• Terms are arranged in ascending order of exponents

In the polynomial 3x + 1 + 2x^2, which term should come first in standard form?

• 2x^2

• 1

• 3x

• None of the above

When arranging polynomials with multiple variables, which order should be followed?

• Descending order of exponents, then alphabetical order

• Random order

• Ascending order of exponents

• Alphabetical order, then descending order of exponents

What is the degree of a polynomial?

• The number of variables in the polynomial

• The sum of all exponents in the polynomial

• The highest exponent of the polynomial

• The number of terms in the polynomial

A polynomial with a highest exponent of 3 is called:

• Cubic

• Quadratic

• Quartic

• Linear

How many terms does a binomial have?

• One

• Four or more

• Two

• Three

What is the classification of the polynomial V^2 + 2V - 5?

• Linear monomial

• Quadratic trinomial

• Cubic binomial

• Quartic polynomial

Which of the following is a monomial?

• V^2 + 2V - 5

• NE - 2X

• 5

• 4a^3 + 8