Question

A quadratic polynomial whose roots are -5 and 7 is

Answer 1

Step-by-step explanation:

Sum of Roots s =-5+7 = 2

Product of Roots p = - 5×7 = - 35

General equation connecting sum and product of roots

${x}^{2} - sx + p = 0$

Putting sum and product of roots

${x}^{2} - 2x - 35 = 0$

Is the required equation.