If α, β are the zeros of the polynomial f(x) = x2 + x + 1, then 1

/a

+

1

/b= …….

a) 1

b) -1

c) 0

d) None of these

/a

+

1

/b= …….

a) 1

b)

If α, β are the zeros of the polynomial f(x) = x2 + x + 1, then 1

/a

+

1

/b= …….

a) 1

b) -1

c) 0

d) None of these

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Answer:Step-by-step explanation:Given[tex]\alpha and\beta[/tex] are the roots of Polynomial f(x)=x^2+x+1 where (a=1 , b=1 , c=1)We have To find 1/[tex]\alpha[/tex] + 1/[tex]\beta[/tex]=[tex](\alpha +\beta )/\alpha \beta[/tex] . . . ..(1)

And we also know that sum of roots(zeroes) of quadratic polynomial = -b/a

[tex]\alpha +\beta =-b/a[/tex]=-1/1=-1 . . . .. (2)

Product of roots of quadratic polynomial =c/a

[tex]\alpha \beta =c/a=1/1=1[/tex] . . . . . .(3)

Put the values of (2) and (3) in (1)

we get

-1/1=-1 ANS