1.) Maria Preformed the synthetic division below for (x^4+3x^2-2x)/(x-4). There are three errors. Explain the errors and enter the correct solution.
| 1 3 -2
4 | -4 4
|__________________
1 -1 2
The big error is that there needs to be a 0 between 1 and 3 at the top to represent the missing cubic term and a 0 to represent the constant term.
1 0 3 -2 0
4 4 16 76 296
-----------------------
1 4 19 74 296
2.)Julie applied Pascal’s triangle to the binomial expansion of (x-4)^5 and her solution is shown below. Explain the error and enter the correct solution.
x^5+20x^4+160x^3+640x^2+1280x+1024=0
It is missing the alternating plus and minus signs
x^5-20x^4+160x^3-640x^2+1280x-1024=0
