state all the possible, real zeros: 4x^4-x^3-3x^2+9x-10
+ or - (1, 2, 5, 10, .5, 2.5, .25, 1.25)
400
find all the zeros of x^4-8x^3+18x^2-27=0
-1, 3, 3, 3
500
Since 1970, the number (in thousands) of males M and females F attending institutes of higher education can be modeled by M=.091t^3-4.8t^2+110t+5000 and F=.19t^3-12t^2+350t+3600 where t is the number of years since 1970. Write a model for the total number of people attending.
.281t^3-16.8t^2+460t+8600
500
The equation P=.00267sF gives the power P needed to keep a certain bicycle moving at a speed s, where F is the force of road and air resistance. On level ground, the equation F=.0116s^2+.789 models the force F. Write a model in terms of s only for the power needed to keep the bicycle moving at speed s on ground level.
.000030972s^3+.00210663s
500
From 1985 to 2003, the total attendance A (in thousands) at NCAA womens basketball games and the number T of NCAA womens basketball teams can be modeled by A=-1.95x^3+70.1x^2-188x+2150 and T=14.8x+725 where x is the number of years since 1985. Write a function for the average attendance per team from 1985 to 2003.
-.13x^2+11.2x-560.9+(408,802.5/14.8x+725)
500
state the end behavior: -x^3+x^2+3x-3
as x approaches negative infinity, f(x) approaches positive infinity
as x approaches positive infinity, f(x) approaches negative infinity
500
write a polynomial function of least degree that has rational coefficients, a leading coefficient of 1, and the given zeros: 5, 5, and 4+i