jsmith56111
jsmith56111 jsmith56111
  • 11-10-2018
  • Mathematics
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Graphing Polynomial Functions

Graphing Polynomial Functions class=

Respuesta :

rejkjavik rejkjavik
  • 11-10-2018

Let's assume

'a' , 'b' are zeros

so, we will find total zeros from graph

We can  curve touches x-axis

Let's assume it touches at x=b

so, there would be two zeros at x=b

it also crosses origin

so, another zero is at x=0

it crosses x-axis one more time

Let's assume that zeros at x=a

so, we have got four zeros

x=a,0,b,b

now, we can set up function

[tex]f(x)=(x-0)(x-a)(x-b)(x-b)[/tex]

we can also write as

[tex]f(x)=x(x-a)(x-b)^2[/tex].................Answer

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