Question

The graph of the polynomial $p$ is shown
(a) Is the degree of $p$ odd or even
(b) Is the leading coefficient negative or positive
(c) Can you find the degree from the graph of $p$

Answer 1

The end behavior of polynomial defines the degree of polynomial
a.the graph given originates from negative infinity on left an goes to negative infinity on right hence it is Polynomial of odd degree.
b. the leading is negative as on positive x it goes to negative y and on negative x it goes to positive y hence leading coefficient is negative
c since the graph is cutting x axis 5 places hence degree of polynomial could be $x^5$