Question

How many roots do the functions have in common?

f(x) = x^2 + 4x

A) f and g share the same root(s).
B) f and g share one root in common but each have another root that is not shared.
C) f and g share no roots in common.

Answer 1

The number of roots that two quadratic functions have in common is determined by their discriminants.

Step-by-step explanation:

Quadratic functions are represented by second-order polynomials. The number of roots that two quadratic functions have in common is determined by their discriminants. The discriminant is given by the formula b^2 - 4ac, where a, b, and c are the coefficients of the quadratic function (ax^2 + bx + c = 0). If the discriminant is equal to zero, then the quadratic functions share one root in common. If the discriminant is greater than zero, the quadratic functions have two distinct roots. And if the discriminant is less than zero, the quadratic functions have no roots in common.