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): You can put this solution on YOUR website!
Since we want to find f(3), this means that our test zero is 3

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|382-7-4
|

Start by bringing down the leading coefficient (it is the coefficient with the highest exponent which is 3)
3|382-7-4
|
3

Multiply 3 by 3 and place the product (which is 9) right underneath the second coefficient (which is 8)
3|382-7-4
|9
3

Add 9 and 8 to get 17. Place the sum right underneath 9.
3|382-7-4
|9
317

Multiply 3 by 17 and place the product (which is 51) right underneath the third coefficient (which is 2)
3|382-7-4
|951
317

Add 51 and 2 to get 53. Place the sum right underneath 51.
3|382-7-4
|951
31753

Multiply 3 by 53 and place the product (which is 159) right underneath the fourth coefficient (which is -7)
3|382-7-4
|951159
31753

Add 159 and -7 to get 152. Place the sum right underneath 159.
3|382-7-4
|951159
31753152

Multiply 3 by 152 and place the product (which is 456) right underneath the fifth coefficient (which is -4)
3|382-7-4
|951159456
31753152

Add 456 and -4 to get 452. Place the sum right underneath 456.
3|382-7-4
|951159456
31753152452

Since the last column adds to 452, we have a remainder of 452.

Since we have a remainder of 452, this means that
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