# 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