Find, by factoring, the $x$-intercepts of the following functions, and choose the factored form of each quadratic function. List the $x$-intercepts in order with the least $x$-value first and greatest $x$-value second.

a) $f(x) = x^2 - 2 x - 8$
$x$-intercepts: $($, $)$, $($, $)$
Factored form:

A. $(x + 2)(x +4)$
B. $(x + 8)(x + 2)$
C. $(x - 2)(x + 4)$
D. $(x + 2)(x - 4)$

b) $g(x) = -174 x^2+174$
$x$-intercepts: $($, $)$, $($, $)$
Factored form:

A. $-174(x + 1)(x - 1)$
B. $-174(x + 1)(x + 1)$
C. $(x - 1)(x + 1)$
D. $(x + 174)(x - 1)$

Hint: