Question

Divide 3x2 − 11x − 4 by x − 4.

Answer 1

I assume you're solving for "x"?

Answer 2

Are you familiar with long division and/or synthetic division?

Answer 3

Personally, I would at first try to avoid division and try to factor.
There is a neat trick for factoring things like 3x^2 - 11x - 4.
Normally this is a bit tricky, because of the 3 in front of x^2.

The trick is this:

1. remove the 3 and multiply it with the last term: x^2 - 11x - 12 (something different!)
2. factor this one: (x + 1)(x - 12).
3. divide 1 and -12 by 3: (x + 1/3)(x - 4)
4. if there are fractions, remove these by multiplying again: (3x + 1)(x - 4).

Now you have the right factorisation of 3x^2 - 11x - 4.
This means that dividing it by x - 4 gives 3x + 1.

Otherwise, you could do the long or synthetic division.

Answer 4

thanks man

Answer 5

yw!