**Master Mind**

**Given that: **

α + β = 14 and αβ = -1

⇒α + β = 14 = -ba ..........(i)

⇒αβ = -1 or αβ = -44 = ca ....... (ii)

On comparing both equations we have,

a = 4, b = -1 and c = - 4

using general quadratic polynomial

ax^{2} + bx + c

⇒ 4x^{2} + (-1)x + (-4)

⇒ 4x^{2} - x - 4 **Answer **

*-Answered by Master Mind* On 13 July 2019:04:50:14 PM