Question

Where does the graph of y = 2x2 + 5x − 3 cross the x-axis?

Answer 1

first you got to foil it out so it would be (2x-1)(x+3)

Answer 2

then you have to put each parentheses equal to zero then solve for x

Answer 3

the x-intercept (when the graph crosses the x-axis) is when y = 0
so you will get points that look like this,

(x,0)

so set y = 0 and solve for x

0 = 2x^2 + 5x − 3

Answer 4

you can factor like mayb40 did or use the quadratic formula

Answer 5

0=(2x-1)(x+3)
so figure out how to make (2x-1) = 0
2x = 1
x = (1/2)

thus when x =(1/2), y = 0

0=(2(1/2)-1)((1/2)+3)
0 = (1-1)((1/2)+3)
0 = 0((1/2) + 3)
0 = 0

now just do the same thing for x+3 and you have your answer