x^3+4x^2-3x-12/ x^2-3 ?

Question

long division

Answer 1

x+4 is the answer!
If you have x^2 and you need to get x^3 then multiply by x, next remember to change the sign. You end up with -x^3 + 3x for the first round of multiplication. Next, you've got 4x^2-12 so multiply your x^2 -3 by 4 and then change signs, again. Everything cancels so your answer is x+4.

I hope this helps!

Answer 2

x³+4x²-3x-12/ x²-3 = -x-4 => remainder 12
::

Answer 3

..... .... x... + 4
x^2 - 3)x^3 + 4x^2 - 3x - 12
..... .... x^3..... .... - 3x
..... .....------------------
..... ..... ..... . 4x^2..... - 12
...... ..... ..... 4x^2..... - 12

expressing conventionally,
(x^2 - 3)(x + 4)