Classify a polynomial and determine degree and leading coefficient

The video tutorial explains the concept of degree zero in polynomials. It begins by introducing the idea and then delves into the structure of polynomials, highlighting the role of constants. The tutorial demonstrates how to rewrite a polynomial to show that its degree is zero, emphasizing that a polynomial with a degree of zero is a constant polynomial function. The video concludes by reinforcing the understanding of constant polynomial functions.

What is the general form of a polynomial?

• aX^n + bX^(n-1) + ... + c

• aX^n + bX^(n+1) + ... + c

• aX^n - bX^(n-1) + ... - c

• aX^n * bX^(n-1) * ... * c

How can a polynomial be rewritten to show a degree of zero?

• By raising the variable to the power of zero

• By multiplying the variable by zero

• By setting the variable to zero

• By dividing the variable by zero

What does X raised to the power of zero equal?

• 1

• X

• Infinity

• 0

What is the leading coefficient in the polynomial 3X^0?

• X

• 3

• 1

• 0

What type of polynomial function is characterized by a degree of zero?

• Quadratic polynomial function

• Linear polynomial function

• Cubic polynomial function

• Constant polynomial function