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fundamental theorem of algebra
100
(2x^3-5x^2+3x-9)+(x^3+6x^2+11)
3x^3+x^2+3x-9
100
multiply x+3 and 3x^2-2x+4
3x^3+7x^2-2x+12
100
divide 3x^2+6x+12 by 3x
x+2+(4/x)
100
What is the degree of: 2x^3+5x^4+9x^6+2x
6
100
how many solutions does x^3+5x^2+4x+20=0 have
3 solutions
200
(23x^3+x+8)+(24x^3+15x^2+7)
47x^3+15x^2+x+15
200
multiply x-5, x+1, and x+3
x^3-x^2-17x-15
200
divide x^3+5x^2-7x+2 by x-2
x^2+7x+7+(16/x-2)
200
name the polynomial: 3x^4+8x^2+5
quartic
200
find the zeros of x^3-4x^2-15x+18
-3, 1, 6
300
(8x^3-x^2-5x+1)-(3x^3+2x^2-x+7)
5x^3-3x^2-4x-6
300
multiply using square of a binomial: (x+3)^2
x^2+6x+9
300
divide 2x^3+x^2-8x+5 by x+3
2x^2-5x+7-(16/x+3)
300
evaluate: 9^3 * 9^-1
9^2
300
find all the solutions of x^3+5x^2+4x+20=0
-5, -2i, 2i
400
subtract 5x^2-x+3 from 4x^2+9x-12
-x^2+10x-15
400
multiply using cube of a binomial: (7x-y)
343x^3-147yx^2+21xy^2-y^3
400
divide (7x^3+11x^2+7x+5) by (x^2+1)
7x+11+(-6/x^2+1)
400
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
f(x)=x^4-18x^3+122x^2-370x+425