For the polynomial function f x x20x 100x 3 list the zeros a

For the polynomial function f (x) --x20x -100x 3), list the zeros and their

Solution

f(x)=-x²(x-1)(x+3)

To find the zeroes,we have to plug f(x) to 0

0=-x²(x-1)(x-2)

-x²=0   , x-1=0 , x+3=0

x=0 with a multiplicity of 2

x=1 with a multiplicity of 1

x=-3 with a multiplicity of 1

For large I x I, f(x) behaves like =-x²*x*x=-x⁴