SOLUTION: sketch the graph of polynomial function l(x)=(x - 3)^2 (x + 4)^3 m(x)=14 + 21x - 2x^2 - 3x^3

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: sketch the graph of polynomial function l(x)=(x - 3)^2 (x + 4)^3 m(x)=14 + 21x - 2x^2 - 3x^3      Log On


   

Question 466185: sketch the graph of polynomial function
l(x)=(x - 3)^2 (x + 4)^3


m(x)=14 + 21x - 2x^2 - 3x^3
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
sketch the graph of polynomial function
l(x)=(x - 3)^2 (x + 4)^3
m(x)=14 + 21x - 2x^2 - 3x^3
..
l(x)=(x - 3)^2 (x + 4)^3
This function has 5 real roots, x=3 (multiplicity 2) and x=-4(multiplicity 3),
as shown by the following graph.
+graph%28+400%2C+400%2C+-6%2C+6%2C+-700%2C+700%2C%28x+-+3%29%5E2+%28x+%2B+4%29%5E3%29+
..
m(x)=14 + 21x - 2x^2 - 3x^3
m(x)=(7-x^2)(3x^2+2)
This function has 2 imaginary roots and 2 real roots at x=±√7, as shown by the following graph
..
+graph%28+400%2C+400%2C+-6%2C+6%2C+-50%2C+50%2C%287-x%5E2%29%283x%5E2%2B2%29%29+
..