Writing an equation in standard form so that we can determine end behavior

The video tutorial covers the identification of polynomial degree and leading coefficient, explaining their roles in determining graph behavior. It emphasizes understanding whether the degree is odd or even and the sign of the leading coefficient. The tutorial also addresses common misconceptions about powers and encourages practice to solidify understanding.

What is the degree of the polynomial discussed in the video?

• 8

• 7

• 6

• 5

What is the sign of the leading coefficient in the polynomial example?

• Undefined

• Zero

• Negative

• Positive

How does a graph behave if it has an odd degree and a negative leading coefficient?

• Rises to the left and falls to the right

• Falls to the right and rises to the left

• Rises to the right and falls to the left

• Falls to the left and rises to the right

What is the leading coefficient of a polynomial?

• The sum of all coefficients

• The average of all coefficients

• The coefficient of the term with the highest power

• The coefficient of the term with the lowest power

What is a common misconception about ordering terms in a polynomial?

• Ordering by the number of terms

• Ordering by the powers of the terms

• Ordering by the size of coefficients

• Ordering by alphabetical order