91Ó°ÊÓ

Arrange in ascending powers of \(x .\) $$ 2 x^{2} y+5 x y^{3}-x^{3}+8 y $$

Factor completely. \(a^{2} b^{2}-121\)

Solve. Value of Coins. There are 50 dimes in a roll of dimes, 40 nickels in a roll of nickels, and 40 quarters in a roll of quarters. Jenna has 10 rolls of coins, which have a total value of \(\$ 77 .\) There are twice as many rolls of quarters as there are rolls of dimes. How many of each type of roll does she have? [ 3.5]

Write an equivalent expression by factoring. $$t^{6}-1-t^{5}+t$$

Products of Sums and Differences Multiply. $$(5+2 y)(5-2 y)$$

Surface Area of a Silo. A silo is a right circular cylinder with a half sphere on top. The surface area of a silo of height \(h\) and radius \(r\) (including the area of the base) is given by the polynomial \(2 \pi r h+\pi r^{2} .\) Find an equivalent expression by factoring out a common factor.

Factor completely. $$ (a-3)(a+7)+(a-3)(a-1) $$

Factor. $$ 16 x^{2}+24 x+5 $$

Wind Energy. The number of watts of power \(P(x)\) generated by a particular home-sized turbine at a wind speed of \(x\) miles per hour can be approximated by $$P(x)=0.0157 x^{3}+0.1163 x^{2}-1.3396 x+3.7063$$ (Graph can't copy) Approximate \(P(20)\)

Factor completely. $$ -9 x^{3}+12 x $$