How many different ways are there to award 1st, 2nd, 3rd, and 4th prize to 12 contestants if there are no ties? 11,880

495

48

19,958,400

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.

it would rotate about 180 degrees.

b

step-by-step explanation: