Find a quadratic polynomial whose sum an...

Find a quadratic polynomial whose sum and product, respectively, of zeros are given. Also find the zeros.
i] `- (3)/(2 sqrt(15)),-(1)/(2)`
ii] `(21)/(8),(5)/(16)`

Text Solution

Verified by Experts

The correct Answer is:

i] `2 sqrt(5) x^(2) + 3x - sqrt(5)`
ii] `16 x^(2) - 42 x + 5`

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Knowledge Check

The quadratic polynomial whose sum of zeros is 3 and product of zeros is -2 is

A

`x^(2) + 3x - 2`

B

`x^(2) - 2x + 3`

C

`x^(2) - 3x +2`

D

`x^(2) - 3x - 2`

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