Math, asked by ashamonikakati2, 1 year ago

if the zeros of a polynomial p(x)=are √2, -√2 ,1/2 , and respectively then find the polynomial p(x).

Answers

Answered by Anonymous
1
I hope it help u.......
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ashamonikakati2: thanks d
Anonymous: welcome
ashamonikakati2: hm
kumarmanish18: hiii
kumarmanish18: kya
Answered by Anonymous
1

Answer:


Step-by-step explanation:

as zeroes r given

let

x=√2,  y=-√2 ,z=1/2

as 3 zeroes are present so its a cubic polynomial

x3-[x+y+z]x2+[x+y+z]x-[x*y*z]------1

now put the values here above given =en 1

sorry i cancelled 1 step

x3-1/2x2+1/2x-1

after cross multiplying  final result is


4x3-2x2+2x-1=0


i dont know ,its right or wrong

if its wrong u can report it

thnxxx


ashamonikakati2: it s ok
sprao534: the required answer is 2x^3 - x^2 - 4x+2
Anonymous: give me the proof of formulla
Anonymous: i will give mine dude
sprao534: if a, b, c are zeros then the polynomial is (x-a) (x-b) (x-c) =x^3 - (a+b+c) x^2 +(ab+bc+ca) x-abc
Anonymous: hyy i u r right but i m too right use mine formulla u will get answer
Anonymous: i did mistake in cross multiplication
Anonymous: otherwise there is another way
Anonymous: to find the polynomials
sprao534: leave it brother. my intention is not to point out
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