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Slove 8 and 9 Please!

 Apr 22, 2019
 #1
avatar+106539 
+2

8.   Since - 5 is a root.....we canuse synthetic division to find the other two roots

 

- 5 [ 12     55      -   27       -  10 ]

               -60          25           10        

       ______________________

       12      -5       -2                0

 

The remaining polynomial is  12x^2  - 5x  - 2

 

We can factor this as   [ and set to 0 ]

 

( 4x + 1) ( 3x - 2)   = 0

 

Setting each factor to 0  and solving for x gives   us the other two roots  as x = -1/4  and x = 2/3

 

 

9.       -2, 1  and 5

 

The polynomial  is  y = ( x + 2) ( x - 1) ( x - 5)

 

Here's the graph :  https://www.desmos.com/calculator/1fvhn73iyz

 

cool  cool  cool

 Apr 23, 2019

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