Question

which point is a point where the graph of $y=(x + 2)(x^2 + 4x + 3)$ crosses the x - axis?
a. $(-3,0)$
b. $(2,0)$
c. $(1,0)$
d. $(3,0)$

Explanation:

Step1: Set $y=0$ for x-intercepts

$(x + 2)(x^2 + 4x + 3) = 0$

Step2: Factor quadratic term

$x^2 + 4x + 3 = (x+1)(x+3)$, so:
$(x + 2)(x+1)(x+3) = 0$

Step3: Solve for $x$

Set each factor to 0:
$x+2=0 \implies x=-2$; $x+1=0 \implies x=-1$; $x+3=0 \implies x=-3$

Answer:

A. (-3,0)