Step-by-step explanation:
I don't see the answer options.
but I can give you the solution itself :
6x² - x - 15 = 0
(ax + b)(cx - d) = acx² - adx + bcx - bd =
= acx² + (bc - ad)x - bd
6 = ac
-1 = bc - ad
bd = 15
assume
b = 3, d = 5
=>
a = 2
c = 3
so,
the equation is also
(2x + 3)(3x - 5) = 0
and the zeros are the x values to turn at least one of the factors to 0 (because 0×something = 0) are
2x + 3 = 0
2x = -3
x = -3/2
and
3x - 5 = 0
3x = 5
x = 5/3
