Find a quadratic polynomial whose sum and and product is - 7 and - 2

x²+7x-2 = 0

Step-by-step explanation:

The general form of a quadratic equation with roots a and b is expressed as shown;

x² - (sum of root) x + (product of roots) = 0

x² - (a+b) x + ab = 0 ... 1

Given the sum of roots a+b = - 7

Product of roots ab = - 2

Substituting this values in equation 1 above wil give;

x² - (-7) x + (-2) = 0

x²+7x-2 = 0

The resulting quadratic polynomial is x²+7x-2 = 0