Question

Find a quadratic polynomial, whose sum and product of its zeroes are 14 and -1 respectively. ​

Answer 1

Answer :

x²-13x-14

Step-by-step explanation:

Let α= 14 and β= - 1,

Let the quadratic polynomial be ax²+bx+c

.

. . α+β = 14+(-1) = 13 = - b/a

αβ = 14* (-1) = -14 = c/a

Therefore,

a = 1, b = -13 & c = - 14

Equation :

x²-13x-14