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Use synthetic division to find P(-3) for P(x)= x^4 -2x^3 - 4x + 4.

 Dec 21, 2015

Best Answer 

 #5
avatar+128485 
+5

 

 

-3   [   1   -2     0      -4      4  ]

               -3   15     -45  147

        ------------------------------

           1  -5   15    -49   151

 

Check the graph here...   https://www.desmos.com/calculator/ixujxbczbk......at P(-3)   the value of the polynomial = 151

 

 

 

 

 

cool cool cool

 Dec 21, 2015
 #1
avatar+8581 
0

I think you would plug "-3" into all those X's . .. Am I corrext? Or no :/

 Dec 21, 2015
 #2
avatar+8581 
0

Use synthetic division to find P(-3) for P(x)= x^4 -2x^3 - 4x + 4.

 

(-3)^2 - 2(-3)^3 - 4(-3) - 4

 

   9          -54      12    -    4

 

-61.

I don't know if im correct or not . . .

 Dec 21, 2015
 #3
avatar
0

Yeah maybe

 Dec 21, 2015
 #4
avatar+8581 
0

Mr. Chris is here. :) hes  a lot better than I am. :)

 Dec 21, 2015
 #5
avatar+128485 
+5
Best Answer

 

 

-3   [   1   -2     0      -4      4  ]

               -3   15     -45  147

        ------------------------------

           1  -5   15    -49   151

 

Check the graph here...   https://www.desmos.com/calculator/ixujxbczbk......at P(-3)   the value of the polynomial = 151

 

 

 

 

 

cool cool cool

CPhill Dec 21, 2015
 #6
avatar
+5

Use synthetic division to find P(-3) for P(x)= x^4 -2x^3 - 4x + 4.

 

(-3)^4 - 2(-3^3) -4(-3) + 4

 

Simplify the following:
(-3)^4-2 (-3^3)-4 (-3)+4

(-1)^2 = 1:
(-3)^4+2 3^3-4 (-3)+4

3^3 = 3×3^2:
(-3)^4+2×3×3^2-4 (-3)+4

3^2 = 9:
(-3)^4+2×3×9-4 (-3)+4

3×9  =  27:
(-3)^4+2×27-4 (-3)+4

(-3)^4  =  (-1)^4×3^4  =  1×3^4:
3^4+2×27-4 (-3)+4

3^4 = (3^2)^2:
(3^2)^2+2×27-4 (-3)+4

3^2 = 9:
9^2+2×27-4 (-3)+4

9^2 = 81:
81+2×27-4 (-3)+4

2×27  =  54:
81+54-4 (-3)+4

-4 (-3)  =  12:
81+54+12+4

| 1 |
| 8 | 1
| 5 | 4
| 1 | 2
+ |  | 4
1 | 5 | 1:
Answer: | =151
 

 Dec 21, 2015
 #7
avatar
0

Thanks for the understanding

 Dec 21, 2015

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