Does the quadratic function y = 3x2 + 7x - 8
have one, two or no real zeros?
Utilize the quadratic formula to
determine the answer.
[?] real zeros

Two real roots

Step-by-step explanation:

The portion of the quadratic formula that determines the number of roots is

b² - 4ac

If it's positve there are two real roots

If it's zero there is one real root

If it's negative there are no real roots

b² - 4ac = 7² - 4(3)(-8)

b² - 4ac =  49 + 96

b² - 4ac =  145

Two real roots since 145 is positive