Determine the zero(s) of the function y=6x2+13x+5 . Show all of your steps.
Hint: You can use factoring or the quadratic formula.
(2 points)
To find the zeros of the function, we need to set y equal to zero and solve for x:
0 = 6x^2 + 13x + 5
We can try factoring first:
0 = (2x + 1)(3x + 5)
Setting each factor equal to zero, we get:
2x + 1 = 0 or 3x + 5 = 0
Solving these equations, we find:
x = -1/2 or x = -5/3
Therefore, the zeros of the function are x = -1/2 and x = -5/3.