# Polynomials : Asymptotes, Synthetic Division and Even and Odd Power (x-c) Theorem

1. FIND ALL VERTICAL ASYMPTOTES OF THE FUNCTION.

*******X+5

F (x) -------------------

****4x squared+7

2. WHICH SHOWS THE TRUE STATEMENT FOR THE GRAPH OF THE RATIONAL FUNCTION g.

*******X+2

g(x) -------------------

****x squared+2x-3

3.USE SYNTHETIC DIVISION TO FIND UPPER AND LOWER BOUNDS OF THE REAL ZEROS OF f. f(x) = x fifth + x fourth -5x cubic -3x squared +3x -3

ANSWER: UPPER:__________ LOWER:_________

4. USE THE EVEN AND ODD POWER OF (X-C) THEOREM TO DETERMINE WHERE THE GRAPH OF THE GIVEN POLYNOMIAL WILL CROSS THE X-AXIS AND WHERE THE GRAPH WILL INTERSECT BUT NOT CROSS THE X-AXIS.

Y=(x+7)(x+5)(x-3)squared(x-8)

https://brainmass.com/math/number-theory/asymptotes-synthetic-division-even-odd-power-theorem-31708

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polynomials/rational functions

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1. FIND ALL VERTICAL ASYMPTOTES OF THE FUNCTION.

*******X+5

F (x) -------------------

****4x squared+7

Since , and we know that , we conclude that NO VERTICAL ASYMPTOTES OF THE FUNCTION exist.

2. WHICH SHOWS THE TRUE STATEMENT FOR THE GRAPH OF THE RATIONAL FUNCTION g.

*******X+2

g(x) -------------------

****x ...

#### Solution Summary

Polynomial problems involving Asymptotes, Synthetic Division and Even and Odd Power (x-c) Theorem are solved. The solution is explained and contains a diagram.