An object is thrown straight up from the top of a building 150 feet tall with an initial velocity of 12 feet per second. The height of the object as a function of time can be modeled by the function y = –16x2 +12x + 150, where y is the height of the object (in feet) and x is the time in seconds after it is thrown.

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.

a

step-by-step explanation: