Question 1183005
f(x) = 2x^3 + 11x^2  -  21x  -  90. (10)
a. Use the rational zero test to list all possible rational zeros of f.
I found these to be x= 3,-5/2,-6
b. Write f as a product of linear factors algebraically. Show all your work
including synthetic division.
<pre>All <b><font color = blue>POSSIBLE</b></font> rational zeros of f: {{{" "+- matrix(1,5, FACTORS, of, the, CONSTANT, TERM)/matrix(1,5, FACTORS, of, the, LEADING, COEFFICIENT)}}} ====> {{{" "+- matrix(1,12, "1,", "2,", "3,", "5,", "6,", "9,", "10,", "15,", "18,", "30,", "45,", 90)/matrix(1,2, "1,", 2)}}}   
That's a total of <b><font color = red>48 POSSIBLE ZEROES</b></font>, but with some factors being duplicates {{{matrix(1,5, " "+- 3/1, is, same, as, " "+- 6/2)}}}, the number of zeroes decreases. 
Now, which ones prove to be ACTUAL ZEROES, you've already determined that.