dividing polynomial

[kpx001]

can anyone help me review these rules to dividing real quick?

3x^4 - 5x^3 - 20x -5 by x^2 + x + 3

do i need to add 0x^2 ?

and

divide x^5 + 3x^3 - 6 by x-1 using synthetic divsion

i got

1| 1 0 3 0 0 -6
1 1 4 4 4
1 1 4 4 4 -2

so x^4 + x^3 + 4x^2 + 4x + 4 * -2/x-1

 

[arthur ohlsten]

a)
Not to add to the confusion, the answer is YES and NO.
If you add the term 0x^2, then when you do your first subtraction you will have for the x^2 term 0x^2 + 9x^2 = 9x^2

If you do not add a 0x^2 term for your first subtraction you will have nothing +9x^2=9x^2 same result

you add the 0x^2 term only as a convenience so it is easier to visualize the operations. Each x^n term is placed under a x^n term.

hope this helps

3x^2-2x+11
b)
I agree with the answer

Arthur