Question

Write a quadratic polynomial the sum of whose zeroes is -3 and product is -10.​

Answer 1

Answer: 2x²+26+60

Step-by-step explanation: General form of a quadratic polynomial is kx²- k(α-β)x + kαβ or k[x²- (α+β)x + ab].

So, by the given condition, the polynomial will be k[x²- (-3-10)+ (-3×-10)].

=k[x²-(-13)+ 30]

=k(x²+13+30) (here, k is a variable which can take any value)

=2(x²+13+30) (let k=2)

=2x²+26+60