Question

Factor the quadratic inequality to find the x-intercept points. y >= x ^ 2 - 2x - 3

Answer 1

Answer:

x = 3

x = -1

Step-by-step explanation:

First you wanna assume that y is 0: 0 $\geq$ $x^{2}$ - 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