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

The base of right prism is rhombus of diagonal is 6 and 8cm and altitude is 12 cm find total surface area
Horace read 160 pages in 4 hours. How many pages can he read in 6 hours??
Two 1 litre jugs are each filled with a mixture of olive oil and vinegar. The first jug has 3 times as much as oil as vinegar and the second jug has 4 times as
you have a full cylindrical glass of water that stands 8 inches tall and has a radius of 1.5 inches .if you pour the water into a larger cylindrical glass that
what time is 9 hours and 30 minutes before. 4:25
Which word is an interjection commonly used in advertising?
If 2 less than or equal too X less than or equal too 6, which of the following has the greatest value
Find an equivalent ratio for 22/55 and then write the proportion
Find an equivalent ratio for 22/55 and then write the proportion
The Indus, Ganges, and Brahmaputra were important to ancient India because they were