Use the given polynomial to answer the following questions.
p(x)= x^(8)+x^(7)-14x^(6)-4x^(5)+55x^(4)-17x^(3)-2x^(2)-12x-72
window: [-6, 6, 1] and [-150, 400,50]
a. Find all extreme points and label
each point. Round your answers
to the nearest hundredth.
b.)Find the rational zero(s). Be sure to
show the list of possible rational
zeros.
c.)Find the intervals where the function
is increasing and decreasing. Be sure
to label your intervals.
Find the remaining zeros of the
function. Be sure to show Synthetic
or Long division and the Quadratic
formula in your work. (use the next
page for work)
e.)If x → ∞ , then
( )P x →______
and if x → −∞ , then
( )P x → _______.
f.) Give the domain and range. Be sure
to label your intervals.
g.) Write ( )P x in factored form.