91Ó°ÊÓ

Solve. Round any irrational solutions to the nearest thousandth. $$ x^{2}-3 x-7=0 $$

When \(x\) hundred gaming systems are sold, Rolics Electronics collects a profit of \(P(x)\) where $$ P(x)=x^{2}-3 x $$ and \(P(x)\) is in thousands of dollars. Find an equivalent expression by factoring out a common factor.

Use a graph to help factor each polynomial. $$ 5 x^{4}+20 x^{3}-1600 x^{2} $$

Factor. Assume that variables in exponents represent positive integers. $$ y^{2}+0.4 y-0.05 $$

Factor. $$ 5(t-1)^{5}-6(t-1)^{4}(s-1)+(t-1)^{3}(s-1)^{2} $$

After \(t\) weeks of production, Claw Foot, Inc., is making a profit of \(P(t)=t^{2}-5 t\) from sales of their surfboards. Find an equivalent expression by factoring out a common factor.

Solve. Round any irrational solutions to the nearest thousandth. $$ x^{2}-5 x+1=0 $$

Urban Sounds is marketing a new \(\mathrm{MP} 3\) player. The firm determines that when it sells \(x\) units, the total revenue \(R\) is given by the polynomial function $$ R(x)=280 x-0.4 x^{2} \text { dollars. } $$ Find an equivalent expression for \(R(x)\) by factoring out \(0.4 x\)

Solve. Round any irrational solutions to the nearest thousandth. $$ 2 x^{2}+8 x+1=0 $$

Urban Sounds determines that the total \(\operatorname{cost} C\) of producing \(x \mathrm{MP} 3\) players is given by the polynomial function $$ C(x)=0.18 x+0.6 x^{2} $$ Find an equivalent expression for \(C(x)\) by factoring out \(0.6 x\)