Math, asked by dalvir3398817pa5fwz, 1 year ago

write the polynomial whose zeroes are 2+root3 and 2-root3


sanjaygandhale: i think that something is missing in the question
dalvir3398817pa5fwz: no
sanjaygandhale: from where do you get this question
dalvir3398817pa5fwz: ouestion is right
sanjaygandhale: ok
dalvir3398817pa5fwz: it's my holidays homework
sanjaygandhale: you are in which class
dalvir3398817pa5fwz: 10th
sanjaygandhale: ok

Answers

Answered by Jenny1981
10
zeroes are 2+√3 & 2-√3
sum of the zeroes = 2+√3+2-√3 = 4
product of the zeroes = (2+√3)(2-√3) = 4-3= 1
p(x)= k[x²-(sum of the zeroes)x+ product of the zeroes]
p(x) = k(x²- 4x+1)
k=1
p(x) = x² - 4x + 1

dalvir3398817pa5fwz: thanks
Jenny1981: no problem
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