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# Algebra

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1.     (a)  Given the following equation,      use synthetic division to test the following 3 pts and show which one is a root.   Must show synthetic division for all 3 of the following test pts.   Test these 3 possible root pts also called possible zeros

using synthetic division.   (x,y) =  (-1, 0) ;   (-3, 0)   ;   (2, 0).

2.      Using the rational root theorem, list the possible zeros:

Using p/q list all the possible zeros of the following equation     3x^2 – 7 = 0.

Hint:  there are 8 correct answers.

List factors of p:

List factors of q:

List possible zeros:    +/- p/q

3.     Simplify the expression (x^(4)+4x^(2)-6x-24)-:(x+4) using synthetic division. Show your work just an answer without showing the synthetic division will get a zero grade.   After doing the synthetic division, which gives you just coefficients.  Convert the coefficient quotient answer, into a polynomial with variable x and the correct exponent powers in it.   Convert your coefficient answer into a polynomial.

Hint:  remember to fill in any missing degree terms in your dividend with coefficients that are zero to represent missing place holders.

Dec 19, 2019
edited by carsondann7  Dec 19, 2019

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Dec 19, 2019
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somehow posted as a guest and in my account, glitch i guess?

carsondann7  Dec 19, 2019
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No equation is shown in 1    and no expression is shown in 3.....   Dec 19, 2019
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Can you do number three again, forgot to put the equation for it in.

carsondann7  Dec 19, 2019
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3.     (x^(4)+4x^(2)-6x-24)-(x+4)

Simplify  and we have     x^4 -4x^2  -7x - 28

WolframAlpha  shows that we have no rational roots for this  :

https://www.wolframalpha.com/input/?i=%28x%5E4%2B4x%5E2-+6x+-+24%29+-+%28x%2B4%29

Are you sure that you have the correct function  ????   Dec 19, 2019