Graph the polynomial function

Question

Graph the polynomial function. Label all key points.

1. p(x)=x^2(2x+7)(x-8)^3

a.) from the leading coefficient test, describe the end behavio.

b.) find the zeros and list the multiplicity of each zero 

c.) find the y-intercept 

Answer 1

Polynomials approach infinity or negative infinity as end behavior 

 

x=0 with multiplicity 2

x=-7/2

x=8 with multiplicity 3

 

y intercept is (0,0) because f(0) = 0