For any polynomial,
f(x) = ax2 + bx + c
The sum of zeroes, is given as - b/a
& the product of zeroes is given as c/a
Here,
The sum of zeroes is given as - 6 = - 6/1
⇒ - \(\frac{6}{1}\) = - \(\frac{b}{a}\)
⇒ b = 6 & a = 1
Also, product of zeroes = c/a
⇒ - 4 = \(\frac{c}{a}\)
⇒ c = - 4
& a = 1
∴ the polynomial is f(x)= x2 +6x-4