Only one way to do this?

For question 6, the first thing to do is to guess (the only way at your level).

Subsequently, to obtain the Ax2 + Bx + C, you can perform different things, any one of this

- Long division
- Comparing coefficients (which I have used)
- Sub in random x like you would for solving identities (after all, both sides are identities since we are just factorising from the LHS to the RHS). This method is the hardest of the three.

If Guess wrongly how?

So in 6a, my first try was x = 1, and it leads to LHS not equal to RHS, so x = 1 does not work.

I moved on to x = 2 and found that x = 2 works. Had it not worked, I would have needed to try other numbers (may be even up to x = -30).

Typically the numbers are factors of the constant term.

For your syllabus, at least one of these integer number guesses must work. The exams will not ask questions which does not meet this criteria.

Ok thanks.
Can help more tonight, having a test this Friday