Question

Find a quadratic polynomial, the sum and product of whose zeroes are √2 and -3/2
respectively. Also find its zeroes.
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Answer 1

Answer:

Quadratic polynomial is given by:

p(x) = k(x² -(sum of roots)x +(product of roots))

, for some constant k.

Mug it up. There is hardly a few board papers in which this concept is excluded (CBSE).

So, sum of roots = √2

Product of roots = -3/2

So, polynomial is:

p(x) = k( x² - (√2)x + (-3/2))

p(x) = k ( x² - √2x -3/2)