How to identify the leading coefficient and degree of a polynomial

The video tutorial explains how to rewrite polynomials in descending order by arranging terms with the largest power first. It clarifies the concept of powers of x, including x to the first and x to the zero. The tutorial demonstrates reordering polynomial terms and emphasizes the importance of identifying the degree and leading coefficient. The degree is the largest power, and the leading coefficient is the number in front of the term with the highest power.

What is the first step in rewriting a polynomial in descending order?

• Identify the constant term

• Identify the leading coefficient

• Arrange terms with the largest power first

• Arrange terms with the smallest power first

If a term in a polynomial is just 'x', what is its power?

• Three

• Zero

• Two

• One

What is the correct order of terms for the polynomial 5x^3 + 3x^2 - 4x + 8?

• 8 - 4x + 3x^2 + 5x^3

• 5x^3 - 4x + 3x^2 + 8

• 5x^3 + 3x^2 - 4x + 8

• 3x^2 + 5x^3 - 4x + 8

What is the degree of the polynomial 5x^3 + 3x^2 - 4x + 8?

• 2

• 4

• 3

• 1

Which term in the polynomial 5x^3 + 3x^2 - 4x + 8 has the leading coefficient?

• 5x^3

• -4x

• 8

• 3x^2