Apply distributive property to write a polynomial in standard form the identify degree

The video tutorial explains how to identify and convert a polynomial into its standard form by simplifying a product of monomials. It covers the process of multiplying monomials by adding their exponents and determining the degree and leading coefficient of the resulting polynomial. The tutorial emphasizes understanding the structure of polynomials and the importance of arranging terms in descending order of power.

What is a key characteristic of a polynomial in standard form?

• It is written as a product.

• It is in descending order and written as a sum of monomials.

• It is in ascending order.

• It has no exponents.

When multiplying monomials with exponents, what should you do with the powers?

• Subtract the powers.

• Divide the powers.

• Add the powers.

• Multiply the powers.

What is the result of multiplying A squared by A cubed?

• A to the third power

• A to the fourth power

• A to the fifth power

• A to the sixth power

What is the degree of the polynomial after simplification?

• 6

• 5

• 4

• 3

What is the leading coefficient of the simplified polynomial?

• 0

• 1

• 3

• 2