Learn how to identify if a function is a polynomial and identify the degree and LC

The video tutorial explains polynomial functions, focusing on their general form, degree, and leading coefficient. It discusses how to identify polynomials by checking for non-negative integer powers and provides examples of non-polynomial expressions, such as those with fractions, radicals, or negative powers. The tutorial concludes with a final example to reinforce the identification of polynomials.

What is the degree of a polynomial function?

• The number of terms in the polynomial

• The smallest power of the variable

• The sum of all coefficients

• The highest power of the variable

How can you determine if a function is a polynomial?

• By ensuring all powers are non-negative integers

• By confirming the function is continuous

• By checking if all coefficients are positive

• By verifying the function has at least three terms

What is the leading coefficient of the polynomial F(x) = x^4 - √2x^2 + 3?

• 4

• 1

• √2

• 3

Which of the following is NOT a characteristic of a polynomial?

• Having fractional powers

• Having non-negative integer powers

• Having a leading coefficient

• Being expressed in standard form

Why can't a function with a variable in the denominator be a polynomial?

• Because it results in a negative power

• Because it has a fractional coefficient

• Because it has too many terms

• Because it is not continuous