You can
put this solution on YOUR website! Please can you give me a step by step solution of the following
long division of polynominals question:
3x^4+4x^3-2x^2+8 divided by 2x^3-18x+2x^2-18.
This isn't step-by-step, but if you can't follow it at all
then you need to learn the procedure from simpler examples.
This is too advanced a problem from which to be learning
the procedure for the first time.
The dividend polynomial 3x4 + 4x3 - 2x2 + 8 is in order of
descending powers of x but it has a missing term in x. So
we need to insert a place-holder of + 0x and write it as:
3x4 + 4x3 - 2x2 + 0x + 8
The divisor polynomial 2x3 - 18x + 2x2 - 18 is not in
order of descending powers of x so we write it as
2x3 + 2x2 - 18x - 18
1.5x + .5
2x3 + 2x2 - 18x - 18) 3x4 + 4x3 - 2x2 + 0x + 8
3x4 + 3x3 - 27x2 - 27x
x3 + 25x2 + 27x + 8
x3 + x2 - 9x - 9
24x2 + 36x + 17
Now we write the final answer as
remainder
quotient + ———————————
divisor
24x2 + 36x + 17
1.5x + .5 + ——————————————————————
2x3 + 2x2 - 18x - 18
Edwin
