91Ó°ÊÓ

Factor the expression completely. \(3 m^{3}-15 m^{2}-6 m+30\)

Solve the equation. $$ 5(3 m+9)(5 m-15)=0 $$

Use a vertical format to add or subtract. $$\left(4 x^{2}-7 x+2\right)+\left(-x^{2}+x-2\right)$$

Use mental math to find the product. $$-26 \cdot 34$$

Factor the expression. Tell which special product factoring pattern you used. $$169-x^{2}$$

Solve the equation by factoring. Then use a graphing calculator to check your answer. $$x^{2}+8 x=105$$

Use the vertical motion models, where \(h\) is the initial height (in feet), \(v\) is the initial velocity (in feet per second) and \(t\) is the time (in seconds) the object spends in the air. (Note that the acceleration due to gravity on the Moon is \(\frac{1}{6}\) that of Earth.) Model for vertical motion on Earth: \(h=16 t^{2}-v t\) Model for vertical motion on the Moon: \(h=\frac{16}{6} t^{2}-v t\) On Earth, you toss a tennis ball from a height of 96 feet with an initial upward velocity of 16 feet per second. How long will it take the tennis ball to reach the ground?

Use the British method to factor the trinomials. \(8 x^{2}-2 x-3\)

Rewrite in decimal form. $$ 8.57 \times 10^{8} $$

In Exercises \(64-66,\) use the vertical motion model \(\boldsymbol{h}=-\mathbf{1 6 t}^{2}+\boldsymbol{v t}+\boldsymbol{s},\) where \(\boldsymbol{h}\) is the height (in feet), \(t\) is the time in motion (in seconds), \(v\) is the initial velocity (in feet per second), and \(s\) is the initial height (in feet). Solve by factoring. T-SHIRT CANNON At a basketball game, T-shirts are rolled-up into a ball and shot from a "T-shirt cannon" into the crowd. The T-shirts are released from a height of 6 feet with an initial upward velocity of 44 feet per second. If you catch a T-shirt at your seat 30 feet above the court, how long was it in the air before you caught it? Is your answer reasonable?