Question

Where does the graph of y = 2x^2 − x − 3 cross the x-axis?

Answer 1

If the graph crosses the x-axis, then y = 0.

0 = 2x² - 5x + 3

By Factor Theorem:

0 = (2x - 3)(x - 1)

Finally, by zero-product identity:

2x - 3 = 0 and x - 1 = 0
x = {3/2,1}

I hope this helps!

Answer 2

yes that is the answer! good luck!