Question

of a and b are the zeros of polynomialx²+2x +1 then 1 by a+1 by b is equal to​

Answer 1

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10th

Maths

Polynomials

Relationship between Zeroes and Coefficients of a Polynomial

If α , β are the zeros of t...

MATHS

Asked on December 26, 2019 byDhamu Kanakagiri

If α,β are the zeros of the polynomials f(x)=x2+x+1 then α1+β1=________.

A

1

B

0

C

−1

D

2

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ANSWER

f(x)=x2+x+1

a=1

b=1

c=1

∵α and β are the zeroes of above polynomial.

∴ Sum of roots =a−b

⇒α+β=1−1

⇒α+β=−1⟶(1)

Product of roots =ac

⇒αβ=11

⇒αβ=1⟶(2)

∴α1+β