The height in feet of a shirt launched from a t shirt cannon high in the stands at a football stadium is given by h(x) =-16x^2 + 64x + 80 where x is the time in seconds after the t shirt is launched. A.)At what height is the t shirt launched? B.) what will be the height after 3 seconds?

x=2sec

H=144m

Step-by-step explanation:

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.