SOLUTION: I really dont now what topic this would fall under I have tried but I cant seem to get it right Here is what I have please tell me if it is right or not
use synthetic division
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-> SOLUTION: I really dont now what topic this would fall under I have tried but I cant seem to get it right Here is what I have please tell me if it is right or not
use synthetic division
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Question 147505: I really dont now what topic this would fall under I have tried but I cant seem to get it right Here is what I have please tell me if it is right or not
use synthetic division to find f(3) when f(x) = 3x^4+8x^3+2x^2-7x-4
3__3 8 2 -7 -4
4 10 7 1 8 Thanks Answer by jim_thompson5910(35256) (Show Source):
Now set up the synthetic division table by placing the test zero in the upper left corner and placing the coefficients of the function to the right of the test zero.
3
|
3
8
2
-7
-4
|
Start by bringing down the leading coefficient (it is the coefficient with the highest exponent which is 3)
3
|
3
8
2
-7
-4
|
3
Multiply 3 by 3 and place the product (which is 9) right underneath the second coefficient (which is 8)
3
|
3
8
2
-7
-4
|
9
3
Add 9 and 8 to get 17. Place the sum right underneath 9.
3
|
3
8
2
-7
-4
|
9
3
17
Multiply 3 by 17 and place the product (which is 51) right underneath the third coefficient (which is 2)
3
|
3
8
2
-7
-4
|
9
51
3
17
Add 51 and 2 to get 53. Place the sum right underneath 51.
3
|
3
8
2
-7
-4
|
9
51
3
17
53
Multiply 3 by 53 and place the product (which is 159) right underneath the fourth coefficient (which is -7)
3
|
3
8
2
-7
-4
|
9
51
159
3
17
53
Add 159 and -7 to get 152. Place the sum right underneath 159.
3
|
3
8
2
-7
-4
|
9
51
159
3
17
53
152
Multiply 3 by 152 and place the product (which is 456) right underneath the fifth coefficient (which is -4)
3
|
3
8
2
-7
-4
|
9
51
159
456
3
17
53
152
Add 456 and -4 to get 452. Place the sum right underneath 456.
3
|
3
8
2
-7
-4
|
9
51
159
456
3
17
53
152
452
Since the last column adds to 452, we have a remainder of 452.
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