Monomials and Polynomials Concepts

The video tutorial covers the basics of polynomials, starting with an introduction to polynomials and monomials. It provides a detailed definition of monomials, including restrictions on variables and powers. The tutorial then offers examples of monomials and polynomials, explaining how to identify them. It discusses the degree of a polynomial and how to calculate it. Finally, the video explains how to add and subtract polynomials by identifying and using like terms.

What does the prefix 'poly' in polynomials mean?

• Few

• None

• Many

• One

What is a monomial?

• A collection of numbers added together

• A collection of numbers divided together

• A collection of numbers multiplied together

• A collection of numbers subtracted together

Which of the following is NOT a restriction on the powers of variables in a monomial?

• Powers can be positive

• Powers can be zero

• Powers can be negative

• Powers must be whole numbers

Why can't a monomial have a variable with a square root?

• Because it would be a negative exponent

• Because it would not be a whole number

• Because it would be a decimal

• Because it would be a fraction

Which of the following is a valid monomial?

• 6/x

• 6xy

• 6+x

• 6-x

What is a polynomial?

• A collection of monomials divided

• A collection of monomials added or subtracted

• A single term

• A collection of monomials multiplied

Which of the following is NOT a polynomial?

• x + 1

• x^3 + 2x^2

• x^2 - 3/x

• x^2 + 3x + 2

What determines the degree of a polynomial?

• The highest power of any variable

• The number of terms

• The number of variables

• The sum of all coefficients

If a polynomial has terms with powers 3, 5, and 2, what is its degree?

• 2

• 5

• 10

• 3

What is the degree of the polynomial 2x^3 + 4x^2 + x?

• 2

• 1

• 3

• 4