Question

5. Find the quadratic polynomial, the sum and product of whose zeros are
(5/2) and 1 respectively.​

Answer 1

Answer:

2x^2-5x+2

Step-by-step explanation:

Let 'alpha' and'beta' be the zeros of the required polynomial. Then,

alpha+beta=5/2 and alpha×beta= 1 [ Given]

So, the polynomial whose 'm' and 'n' are zerosis given by

x^2-(alpha+ beta)x+(alpha×beta)

= x^2-(5/2)x+1

= (2x^2-5x+2)/2

= 2x^2-5x+2

Hence, the required quadratic polynomial is

2x^2-5x+2

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