SOLUTION: Use synthetic division to find the upper bound of polynomial (x^4-x^3-7x^2+x+6) please show all work!! I need to see what the desired result looks like in synthetic division.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Use synthetic division to find the upper bound of polynomial (x^4-x^3-7x^2+x+6) please show all work!! I need to see what the desired result looks like in synthetic division.      Log On


   



Question 951146: Use synthetic division to find the upper bound of polynomial (x^4-x^3-7x^2+x+6) please show all work!! I need to see what the desired result looks like in synthetic division.
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Use synthetic division to find the upper bound of polynomial (x^4-x^3-7x^2+x+6) please show all work!! I need to see what the desired result looks like in synthetic division.
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Use the rational roots theorem with synthetic division:
...0..|.....1......-1......-7......1.......6..........
...1..|.....1.......0......-7.....-6.......0 (1 is a root)
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...0..|.....1.......0......-7.....-6
...2..|.....1.......2......-3....-12
...3..|.....1.......3.......2......0 (3 is a root)
...4..|.....1.......4.......9......30 (4 is an upper bound, all numbers positive)
P(x)=(x-1)(x-3)(x^2+3x+2)
P(x)=(x-1)(x-3)(x+1)(x+2)