Question

The function g is given in three equivalent forms.

Which form most quickly reveals the zeros (or "roots") of the function?
Choose 1 answer:
A. g(x) = 3(x + 1)2 – 12
B. g(x) = 3.x2 +62 – 9
C. g(2) = 3(x+3)(x - 1)

Answer 1

The factored form g(x) = 3(x+3)(x - 1) most quickly reveals the zeros of the function, which are x = -3 and x = 1.

Step-by-step explanation:

The form of the function g(x) that most quickly reveals the zeros (or "roots") of the function is g(x) = 3(x+3)(x - 1). This form is known as factored form and expresses the function as a product of its factors. To find the zeros of the function, we set the equation equal to zero and solve for x. The solutions are given by the values of x that make each factor equal to zero, which are x = -3 and x = 1.