Question

Please Help I suck at algebra!!!!!!!

Which of the following lists all x-intercepts of the graph of the equation y = x3 – 4x? (1 point)

a.) (0, 0), (4, 0)

b.) (–2, 0), (0, 0), (2, 0)

c.) (–2, 0), (2, 0)

d.) (–4, 0), (0, 0), (4, 0)

Answer 1

Is that 3 an exponent?

Answer 2

yes sorry about that.

Answer 3

x intercepts happen when y = 0.
First you factor the equation into y = x(x^2 - 4)
Now set that = 0
x(x^2 - 4) = 0 when x = 0 or when x^2 - 4 = 0
x^2 - 4 = 0 when x^2 = 4 therefore when x= 2 or x = -2
So the x-intercepts occur at (0,0), (2,0) and (-2,0)

Answer 4

Okay thank you so much! :)