91Ó°ÊÓ

A box with no top is to be constructed from a piece of cardboard whose length measures 6 in. more than its width. The box is to be formed by cutting squares that measure 2 in. on each side from the four corners and then folding up the sides. If the volume of the box will be \(110 \mathrm{in} .^{3}\), what are the dimensions of the piece of cardboard?

Factor each trinomial. \(6 z^{4}+z^{2}-1\)

If a baseball is dropped from a helicopter \(625 \mathrm{ft}\) above the ground, then its distance in feet from the ground \(t\) seconds later is modeled by the function $$ f(t)=-16 t^{2}+625 $$ How long after it is dropped will it hit the ground?

Factor out the variable that is raised to the lesser exponent. (For example, in Exercise 77, factor out \(m^{-5}\).) $$ 3 m^{-5}+m^{-3} $$