Question

Find a quadratic polynomials whose sum and product respectively of the zeroes are as given -2√3,-9​

Answer 1

Sum of zeroes = -2√3

Product of zeroes = -9

Then ,

we know that any quadratic polynomial is in the following form :

ax²+bx+c

But the formulae to prepare a polynomial with given sum of zeroes and product of Zeroes be like :

k[x²-(Sum of zeroes)+(Product of Zeroes)]

k[x²-(-2√3)+(-9)]

k[x²+2√3-9]

Where k = 1 (You can put any constant as k but for simplicity I'd used 1)

The required polynomial is x²+2√3-9.