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.
To find the zeros of the function, we need to solve the equation 6x^2 + 13x + 5 = 0.
Let's try factoring first.
The factors of 6 are 1 and 6, and the factors of 5 are 1 and 5. To get a sum of 13, we can use the factors 1 and 5.
Rewriting the equation with factored form, we have:
(2x + 1)(3x + 5) = 0
Setting each factor equal to zero, we get:
2x + 1 = 0 -> 2x = -1 -> x = -1/2
and
3x + 5 = 0 -> 3x = -5 -> x = -5/3
Therefore, the zeros of the function are x = -1/2 and x = -5/3.