Degree and Leading coefficient of a polynomial

The video tutorial explains how to write a polynomial in standard form by arranging terms in descending order of exponents. It highlights the importance of identifying the leading term and its coefficient, which determines the polynomial's degree. The tutorial also clarifies common misconceptions about comparing coefficients instead of degrees.

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

• Locate the term with the largest exponent

• Find the term with the smallest exponent

• Identify the constant term

• Arrange terms alphabetically

Where should the constant term be placed in a polynomial written in standard form?

• At the beginning

• In the middle

• At the end

• Before the leading term

How can a constant term be represented in terms of exponents?

• As a term with an exponent of one

• As a term with an exponent of three

• As a term with an exponent of zero

• As a term with an exponent of two

What is the leading coefficient of a polynomial?

• The coefficient of the leading term

• The sum of all coefficients

• The coefficient of the term with the smallest exponent

• The largest number in the polynomial

Why is it incorrect to compare coefficients when ranking polynomial terms?

• Because coefficients are always positive

• Because coefficients are not part of the polynomial

• Because coefficients do not determine the order of terms

• Because coefficients are always negative