Question

If alpha, beta and gama are the zeroes
of polynomial
X3+3x2+10x-24
then find the value of 1/y+1/2+1/3​

Answer 1

ANSWER

f(x)=x

2

+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 =

a

c

⇒αβ=

1

1

⇒αβ=1⟶(2)

∴

α

1

+

β

1

=

αβ

β+α

From eq

n

(1)&(2), we have

⇒

α

1

+

β

1

=

1

−1

=−1

Hence, -1 is the correct answer