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Fill in the blanks and select the correct option.
(i) If `alpha and beta` are the zeros of the polynomial `f(x) = x^(2)- 5x+ k` such that `alpha- beta= 1`, then find the value of k.
(ii) If the polynomial `f(x)=x^(4)- 6x^(3) + 16x^(2)- 25x+ 10` is divided by another polynomial `x^(2)-2x+ p`, the remainder comes out to be `x + q`. Find p and q.
(iii) Find a quadratic polynomial whose zeroes are the reciprocal of the zeroes of `4x^(2)- 3x-1`

A

`{:(i,ii,iii),(6,"5,"-5,x^(2)+3x-4):}`

B

`{:(i,ii,iii),(4,"4,-5",x^(2)+3x-4):}`

C

`{:(i,ii,iii),(8,"5, -4",2x^(2)+ x- 2):}`

D

`{:(i,ii,iii),(6,"3, -3",x^(2)- 3x+ 4):}`

Text Solution

Verified by Experts

The correct Answer is:
A
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