Question

the quadratic polynomial having sum and product of zeros are -2 and -5​

Answer 1

Answer:

α β be the zeros of the quadratic polynomial,

as given sum of it's zeros 5 and product of it's zeros −14

then α+β=5 and αβ=−14

(x−α)(x−β) is the quadratic polynomial.

=>x

2

−2x−βx+αβ

=>x

2

−(α+β)x+αβ

=>x

2

−5x+(−14)

=>x

2

−5x−14

Therefore quadratic polynomial is

x

2

−5x−14