Q.2. Write the polynomial whose zeroes are 2+ √3 and 2 -√3\ P;LS URGENT
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Answer:
alpha = 2 + root 3
beta = 2 - root 3
alpha + beta = 2 + root 3 + 2 - root 3
= 2+ 2
= 4
but , alpha + beta = -b/a = 4
assume a = 1
then -b = 4
so, b= -4
alpha*beta = (2 + root 3 )*(2 - root 3)
= 4 - 2 root 3 + 2 root 3 - 3
= 4 -3
= 1
but , alpha*beta = c/a = 1
as we have considered a = 1
then c = 1
so our values are ,
a = 1
b = -4
c = 1
polynomial = ax^2 + bx + c
= 1x^2 + (-4)x + 1
= x^2 - 4x + 1
so your required polynomial is ( x^2 - 4x + 1 )
hope this helps!!
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