Question

) If ∝ and are zeroes of the polynomial P ( x ) = 3x 2 – 4x + 7

then form a quadratic polynomial whose zeroes are 1/α and 1/β ?​

Answer 1

Given: α,β are zeroes of the polynomial 4x

2

+3x+7

To find the value of

α

1

+

β

1

From the given quadratic equation,

α+β=−

4

3

and αβ=

4

7

Therefore,

α

1

+

β

1

=

αβ

α+β

=

4

7

−

4

3

=−

7

3

⇒

α

1

+

β

1

=−

7

3