Answer:
x = 3
x = -1
Step-by-step explanation:
First you wanna assume that y is 0: 0 [tex]\geq[/tex] [tex]x^{2}[/tex] - 2x - 3
now factor the right side like any other problem:
we know that we automatically have (x _ ?)(x_?), because there is an x squared
now we need to find a number that multiplies to -3 and adds up to -2
if take positive 1 and -3, we multiply it to get -3, and when you add the two numbers, you get -2
so now we can fill (x _ ?)(x_?), and turn it into (x - 3)(x + 1)
now we will take each parenthesis part and separate it and solve them for x individually:
(x - 3) = 0
x = 3
(x + 1) = 0
x = -1
so now we have our x intercepts
