an online seller of glass water tumblers is about to ship the order of his client via a local courier service provider.To ensure that the items will not damaged during the shipping the tumblers were secured in a small box and is to be placed in a larger box filled with the styrofoam.
Question:
1.Write a polynomial that describes the amount of space in a larger box that must be filled with a styrofoam chips
2.Factor tge polynomial
Share
Answer:
1. 1728 - x^3
because the length of the sides of the cube is 12in. and the other cube is x in. so when you right it like that is the answer
2. (12- x) (144 + 12x + x^2)
because it is a cube you should simplify 1728 since it is a cube of 12 and x^3 is a cube of x you put the simplified answer.
To factor:
1st: Square the first term so that's gonna be 12x12=144 since 12 is the first term.
2nd: Multiply the first and second term so (12)(- x) so basically because the factor is connected by a - (minus), the middle term should be it's additive inverse(opposite) so that's gonna be a + sign.
3rd:Square the second term so
(-x)(-x) = x^2 so since you multiplied the same sign the sign is a + sign so that will become the factors.