Question

If a,ß are the zeroes of the polynomial f(x)=x power 2+x+1, then (Alfa+1) (beta+1)
is equal to?​

Answer 1

The 'VidhanSabha Bhavan' of Gujarat is located at gandhinagar true or false

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please

Answer 2

$\huge\sf\fbox\purple{ ♡ Solution ♡ }$

★ Explanation ★

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+β1=αββ+α

From eqn(1)&(2), we have

⇒α1+β1=1−1=−1

Hence, -1 is the correct answer.