use synthetic division to find 1. x^3+4x^2-x-4=0; 1
2. 2x^4-17x^3+51x^2-63x+27=0; 3 ,1
3.the revenue from sale of a product is given by R= 250x-5x^2-x^3. if the sale of 5 units gives a total revenue of $1000, use synthetic division to find another number units that will give $1000 in revenue.
4. The model y=0.000447x^3-0.0361x^2+0.615x+7.966, where x =0 in 1960, gives America personal savings rate for selected years from 1960 to 2009. In what year after 1970 is the personal saving rate 9.4 according to the model ?
5.The number of college enrollment in thousand by recent high school graduate is given by f(x)= 0.2x^3-13.71x^2+265.06x+1612.56, where x is the number of years after 1960 when the number of enrollment was 2862 thousand.
a. set the functional equal to 2862 and rewrite the resulting equation with 0 on one side.
b. set the nonzero side of the equation in part equal to y and graph this function on the windows [25, 50] by [-50, 50]. use the graph to find integer solution to this equation.
c. use synthetic division to find a quadratic factor
d. use quadratic formula to find any other any other solution to this equation
e. use the information to determine the years in which the number of enrollment was 2862000