Apply operations and then write the polynomial in standard form and find degree and LC

The video tutorial explains the concept of polynomials, emphasizing that they are sums of monomials. It demonstrates how to apply the distributive property to simplify expressions and combine like terms. The tutorial also covers arranging polynomials in standard form, ensuring the largest power is first. The instructor clarifies the leading coefficient and addresses any questions from students.

What is the definition of a polynomial?

Explain the distributive property and how it applies to polynomials.

How do you combine like terms in the expression 3X^2 - 6X + 4X?

Describe how to write a polynomial in descending power form.

What is the significance of the leading coefficient in a polynomial?