## anonymous one year ago Divide. Use synthetic division, if possible. (x^4+6x^3-x^2-5x+1)/(x-2) (x^3+9x^2-5x+11)/(x^2+2)

1. anonymous

$\frac{(x^4+6x^3-x^2-5x+1)}{(x-2)}$ First you would want to factor out from the first 2 terms such that x-2 would be left out, for that we can write $6x^3=8x^3-2x^3$ $\implies \frac{(x^4-2x^3+8x^3-x^2-5x+1)}{(x-2)}$ Take out x cube$\frac{(x^3(x-2)+8x^3-x^2-5x+1)}{(x-2)}$ Now try to write -x^2 as something so that when u take out 8x^2 common from 8x^3 and -x^2 you would be left with x-2 just like we did with first 2 terms

2. anonymous

Isn't synthetic division where you only use the coefficients? i guess im having more trouble doing with the second one-dividing the x^2+2

3. anonymous

I don't know what's "synthetic" division, but u can also simply just divide it, but I prefer to take out factors like that, I find it simpler

4. anonymous

Have u done the first one?

5. anonymous

you know it would be so much easier to do it on calcilator

6. anonymous

i think synthetic division is the one where you have the divisor boxed in the top left

7. anonymous

i forget if u box a positive 2 or a negative 2

8. anonymous

Like this? |dw:1439281391657:dw|

9. anonymous

|dw:1439281358017:dw|

10. anonymous
11. anonymous

Sorry I've no idea about this method, but you can simply use long division or rewrite terms and take out factors, it's much simpler to just do long division honestly

12. anonymous

thats for the first one

13. anonymous

i think the answer needs to be a number not a graph

14. anonymous

are you sure

15. anonymous

its ok thanks for trying

16. anonymous

ya it should be a number

17. anonymous

oops

18. anonymous

i got the first one, just need the second

19. Nnesha

right synthetic where you just need coefficients and set the divisor equal to zero x-2=0 solve for x(add 2 both sides )x=2 |dw:1439293979673:dw| drop down the leading coefficient and then multiply by x value which is 2 write your answer above the line and combine that with 2nd term coefficient 2 times 1=2 6+2=8

20. Nnesha

apply long division method for 2nd one bec highest degree is 2 synethic division method is best for highest degree o one like x+2 x+4