Question

what are the x-intercepts of the graph of $y = (x - 2)(x - 4)$? (2, 0) (4, 0); (-2, 0) (-4, 0); (0, 2) (0, 4); (0, -2) (0, -4)

Explanation:

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

$0=(x-2)(x-4)$

Step2: Solve each factor for $x$

$x-2=0 \implies x=2$; $x-4=0 \implies x=4$

Step3: Write intercept coordinate pairs

For $x=2$, pair is $(2,0)$; for $x=4$, pair is $(4,0)$

Answer:

(2, 0) (4, 0)