Question

the sum and product of zeroes of the quadratic polynomial are 2 and -15.find the quadratic polynomial

Answer 1

Sum of zeroes(S)=2

Product of zeroes(P)=-15

We know,

Polynomial =k(x^2-Sx+P)

After putting all the values

Polynomial =k(x^2-2x-15)

Here k=1

Therefore polynomial =x^2-2x-15

Answer 2

given :

sum of zeroes = 2

product of zeroes = -15

quadratic polynomial =

${x}^{2} - (sum \: of \: zeroes)x + product \: of \: zeroes \\ {x}^{2} - (2)x + ( - 15) \\ {x}^{2} - 2x - 15$

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