Question

Find the zeroes of the polynomial x² -3 and verify the relationship between
zeroes and the coefficients of the polynomial

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Answer 1

Step-by-step explanation:

Answer:-

Let α & β are rhe zeroes of the polynomial

Let polynomial p(x)= x^2 -3 is equal to zero

x^2 -3 = 0

x^2 = 3

x = +√3 , x = -√3

α = √3 , β = -√3

compare the polynomial with ax^2 + bx + c

a = 1 , b = 0 , c = -3

α+β= -b/a

LHS:

α+β= √3 + (-√3)

α+β= 0

RHS:

-b/a= 0/1

-b/a= 0

LHS = RHS

α*β = c/a

LHS:

α*β= √3*(-√3)

α*β = -3

RHS:

c/a= -3/1

c/a=-3

LHS = RHS