Question

sum and product of zeros of a quadratic polynomial are 3 and 6 respectively then find that polynomial ​

Answer 1

Step-by-step explanation:                                                                                                                       x^2 −(sum of zeroes) x+ product of zeroes =0

                               x^2+3x+6=0

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Answer 2

Let the zeros of the polynomial be α and β respectively.

Given α+β=3 and αβ=6,

Now,

The required polynomial={x^2-(α+β)x+αβ)

=x^2-3x+6

So the polynomial is x^2-3x+6.