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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  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

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1. No function shown

2.  3x^2 - 7   =  0

Factors of p  = ±1, ±7

Factors of q =  ±1, ±3

Possible zeroes  =   ±1/3 , ±1, ±7/3, ±7

3.  No expression shown

Dec 19, 2019