What is the definition of standard form, degree and leading coefficient of a polynomial

The video tutorial explains polynomials, focusing on writing them in standard form, which involves arranging terms in descending powers. It provides examples to illustrate this concept and discusses the degree and leading coefficient of a polynomial. The tutorial also clarifies common questions about identifying the leading monomial and its coefficient.

What is the standard form of a polynomial?

• Arranging monomials by coefficient size

• Arranging monomials alphabetically

• Arranging monomials in ascending powers

• Arranging monomials in descending powers

In the polynomial F(x) = 3x^7 + 2x^3 + x^2 + x - 7, which term represents the highest power?

• 2x^3

• x

• x^2

• 3x^7

How many monomials are present in the polynomial F(x) = 3x^7 + 2x^3 + x^2 + x - 7?

• 4

• 5

• 3

• 6

What is the degree of the polynomial F(x) = 3x^7 + 2x^3 + x^2 + x - 7?

• 2

• 7

• 4

• 3

In the polynomial F(x) = 3x^7 + 2x^3 + x^2 + x - 7, what is the leading coefficient?

• 3

• 1

• 2

• 7