Question

2. Find a quadratic polynomial whose zeroes are 3 and 2.

Standard:- 10

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Answer 1

Let the Zeroes of the polynomial be a and b.

a = 3 and b = 2.

Now,

Sum of zeroes:

= > a + b = 3 + 2

               = 5.


Product of zeroes:

= > a * b = 3 * 2

               = 6.



Hence, the required polynomial:

= > x^2 - (a + b)x + ab

= > x^2 - (5)x + 6

= > x^2 - 5x + 6.


Therefore the required quadratic polynomial = x^2 - 5x + 6.


Hope this helps!