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: (Choice A) A g(x)=-2(x+4)^2+18 (Choice B) B g(x)=-2x^2-16x-14(Choice C) C g(x)=-2(x+1)(x+7)

Answer 1

Answer:

C. $g(x) = -2 \cdot (x + 1)\cdot (x+7)$

Step-by-step explanation:

The polynomial form that reveals most quickly the zeroes is the form of a product of binomials. That is:

$g(x) = \Pi\limits_{i=1}^{n} (x-r_{i})$

Where $\Pi$ is the product function and $r_{i}$ is the i-th root of the polynomial.

Hence, $g(x) = -2 \cdot (x + 1)\cdot (x+7)$ resembles a form that is close to the form described above. The right option is C.