For the safety of the audience, the fireworks should be set to explode at least 450 feet above the ground. the length of the second fuse in a mortar firework controls when the firework explodes. the fireworks company has these four fuses available: fuse a: the firework will explode in 1 to 3 seconds. fuse b: the firework will explode in 3 to 5 seconds. fuse c: the firework will explode in 6 to 8 seconds. fuse d: the firework will explode in 8 to 10 seconds. which fuse should the company use for your fireworks display, and why?

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.

step-by-step explanation:

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