How do you divide: #5a^2+6a-9# into #25a^4#?
1 Answer
Use synthetic division. The process is somewhat like long division.
First choose a multiplier of
That first multiplier is
Subtract this from the original polynomial to get a remainder...
Next choose a second multiplier to match the leading term of this remainder...
The second multiplier is
Subtract this from the remainder to get a new remainder...
Next choose a third multiplier to match the leading term of this remainder...
The third multiplier is
Subtract this from the previous remainder to get a new remainder...
Adding all the multipliers we found together, we have:
I think this is where you are expected to stop.
Like long division, you could carry on to find terms in