mervindavisk
mervindavisk mervindavisk
  • 02-02-2019
  • Mathematics
contestada

Find the condition that the zeros of the polynomial f(x) = x^3+3px^2+3px+r may be in A.P.

Respuesta :

dhiab
dhiab dhiab
  • 02-02-2019

Answer:


Step-by-step explanation:

note :

( a + b )^3 = a^3 +b^3 +3 a²b +3b²a + b^3...(*)


the condition is : r = 1  and  p=1

put : x= a  and  b = 1  in (*) you have :

(x + 1)^3 = x^3 +3x² +3x +1

the zeros is : x = - 1

bcause : x^3 +3x² +3x +1 = 0     .... (x + 1)^3 = 0  so : x = - 1

Answer Link

Otras preguntas

FAST ANSWERS ONLY PLEASE HELP
What would happen if there were no germ-line mutations or genetic recombination possible in a population? (2 points) Genetic variation would have to come fro
In many games a player’s remaining “power” I’d displayed in the form of
What form of energy transformation occurs when wind spins turbines??
Need help with this please!!
What happened to them?In the poem cold within
PLEASE HURRY! GEOMETRY PROOF ON PARALLEOGRAM
Why does increasing the temperature cause a solid substance to change in succession from a solid to a liquid to a gas?
how does antacids effect drug absorption
Mikel is determining if the two triangles below could be similar based on their side lengths. Which statements accurately describe the triangles? Check all tha