Answer:
x² + 8x + 7 = 0
Explanation:
A quadratic function in standard form can be represented by the equation
ax² + bx + c = 0
If the roots of the equation are u and v then the equation can be represented also by the product
(x - u) (x -v) = 0 since that would mean
x -u = 0 and x - v = 0
giving
x = u and x = v
In this case the roots are given as -1 and - 7
So the quadratic equation can be represented as
(x - [-1]) (x - [-7]) = 0
=> (x + 1) (x + 7) = 0
=> x² + 8x + 7 = 0