Question

select the correct answer
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

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

Step2: Factor quadratic term

$x^2+4x+3=(x+1)(x+3)$

Step3: Solve for $x$ values

$x+2=0 \implies x=-2$; $x+1=0 \implies x=-1$; $x+3=0 \implies x=-3$

Step4: Match to options

The valid x-intercept is $(-3,0)$

Answer:

A. (-3,0)