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Simplify the expression (x^4 + 4x^3 - 5x - 20) ÷ (x + 4) using synthetic division. 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. Show your work.

 Sep 18, 2019
 #1
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We are testing to see if -4 is a root.....

 

 

-4 [  1      4     0      -5     -20   ]

              - 4    0       0      20

       _____________________

        1     0     0      -5        0

 

The  polynomial   is     x^3  - 5   with a remainder of  0

 

Thus   (-4)  is a root  of  the polynomial

 

 

cool cool cool

 Sep 19, 2019

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