mikesntom9321 mikesntom9321
  • 08-01-2018
  • Mathematics
contestada

Write the equation of the polynomial function with the given zeros

Respuesta :

calculista
calculista calculista
  • 16-01-2018
Well I believe you are missing the zeros... But lets explain the generic case

Suppose you have n number of zeros ..... z1, z2, z3, z4.....zn-1,zn

These are the roots of an nth order polynomial 

an.x**n +an-1.x**n-1 +.....a2 x**2 + a1.x**1 + a0 = 0

This means that xn = zn , xn-1 = zn-1 , .........x1 = z1

The equation is obtained by multiplying

(x-zn)*(x-zn-1)*......*(x-z2)*(x-z1) = 0

For example, imagine the given zeros  z1 =3, z2 = 2

the equation would be ......(x-3)*(x-2) = 0 ........==> x**2 -5x +6 = 0
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