Understanding Polynomials

This video tutorial from Moomoomath and Science explains what polynomials are, providing definitions and examples. It classifies polynomials by the number of terms, such as monomials, binomials, and trinomials, and by degree, including linear, quadratic, and cubic polynomials. The video also covers how to write polynomials in standard form and identifies the lead coefficient. The tutorial aims to clarify these concepts for better understanding of algebraic expressions.

What is a polynomial?

• A geometric shape

• A number without variables

• An equation with an equal sign

• An algebraic expression with one or more terms

Which of the following is a monomial?

• 2x + 3

• 5x^2

• x^2 - 4x + 4

• 3x - 1

What is a polynomial with two terms called?

• Quadrinomial

• Monomial

• Binomial

• Trinomial

Which polynomial degree is known as quadratic?

• Degree 2

• Degree 0

• Degree 3

• Degree 1

What is the degree of the polynomial 5x^3 - 2x^2?

• 1

• 4

• 2

• 3

How should a polynomial be arranged in standard form?

• From the lowest degree to the highest degree

• In alphabetical order

• Randomly

• From the highest degree to the lowest degree

Which term should be listed first in the polynomial 5 - 2x + 6x^2?

• None of the above

• 5

• -2x

• 6x^2

What is the lead coefficient in the polynomial 6x^2 - 5x + 8?

• 2

• -5

• 8

• 6

In the polynomial -5x^2 + 6x + 8, what is the lead coefficient?

• 2

• 8

• -5

• 6

What does the lead coefficient represent in a polynomial?

• The constant term

• The coefficient of the term with the highest degree

• The number of terms in the polynomial

• The smallest number in the polynomial