How to write a polynomial in standard form and identify degree and LC

The video tutorial explains how to solve problems involving monomials by assigning powers to each term. It emphasizes writing expressions in standard form, starting with the largest power and descending. The instructor provides an example, introduces abbreviations for degree and leading coefficient, and concludes with a transition to the next example.

What is the first step in writing a polynomial in standard form?

• Calculate the sum of coefficients

• Identify the leading coefficient

• Assign a power to each monomial

• Arrange terms in ascending order of power

When arranging a polynomial in standard form, which term should be written first?

• The term with the smallest coefficient

• The term with the smallest power

• The term with the largest coefficient

• The term with the largest power

What does the degree of a polynomial represent?

• The number of terms in the polynomial

• The largest power of the polynomial

• The sum of all coefficients

• The smallest coefficient in the polynomial

How is the leading coefficient of a polynomial defined?

• The average of all coefficients

• The coefficient of the term with the largest power

• The sum of all coefficients

• The coefficient of the term with the smallest power

What is the leading coefficient in the example given by the instructor?

• 3

• 0

• -7

• 2