Question

find the zeroes of the polynomial p (x)
=21x2-3 and verify the relationship between the zeroes and coefficients

Answer 1

coefficient which are same but zeros which says equal any equation is equal to zero

Answer 2

p ( x ) = 21 x² - 3
p ( x ) = (√21 x)² - (√ 3 )²
p ( x ) = (√21 x - √3 ) ( √21 x + √ 3 )

Zeroes , α= √3 /√ 21 , β = - √3 /√21
α = 1 /√7 , β = -1 /√7

Now, In p ( x )
coefficient of x² , a=21
coefficient of x, b = 0
contantant tern, c = -3

Sum of Zeroes = - b / a = 0
also, sum of Zeroes = α + β = (1 /√7) + (-1/√7)=0

Product of Zeroes = c/a = -3 / 21= - 1/7
also , Product of zeroes= αβ= (1/√7)*(-1/√7)=-1/7