Leading coefficient and degree of a polynomial

The video tutorial explains how to work with polynomials, focusing on putting them in standard form by ranking exponents from greatest to least. It covers identifying the degree of a polynomial, which is the largest exponent, and finding the leading coefficient, which is the numeric coefficient of the leading term. The tutorial also addresses simplifying expressions and clarifies common questions about standard form.

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

• Find the constant term

• Rank the exponents from greatest to least

• Identify the leading coefficient

• Rank the exponents from least to greatest

How is the degree of a polynomial determined?

• By the smallest exponent

• By the number of terms

• By the constant term

• By the largest exponent

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

• 5

• 1

• 2

• 3

What is the leading coefficient of the polynomial 5x^3 - 3x^2 + x?

• 1

• 0

• 3

• 5

In standard form, how should the term '-3x^2' be written?

• As -x^2

• As -3x^2

• As 3x^2

• As +3x^2