Question

4x+5 42x+10
____________
x^2-x-5

Answer 1

What is the numerator?

Answer 2

do you want to simplify it?

Answer 3

Sorry....typing is in a second

Answer 4

*it*

Answer 5

I think it's 4x + 542x + 10/ x^2 - x -5

Answer 6

4x3 + x2 + 17x – 15 is the numerator and -x2 – x – 5 is the denominator

Answer 7

Long Division

Answer 8

Write it like a long division problem.. The 4x^3 part on the inside.

You ask yourself -x^2 times what gives you 4x^3 that answer is -4X so that is what you put above the 4x^3 in the answer. This is step 1.

Answer 9

Once you put -4x up on top.. you multiply it by every term in (-x^2 - x - 5) so under the 4x^3 you write 4x^3 + 4x^2 + 20x
You get that by -4x(-x^2 - x - 5)

change all the signs on the bottom because you want to subtract so
on the bottom you get
-4x^3 - 4x^2 - 20x draw your line under this and add them up

Answer 10

the 4x^3 and the -4x^3 add to 0 so you don't write that down.

the x^2 - 4x^2 should give you -3x^2
the 17x - 20x should give you -3x
then bring down the next term (-15)

you should see -3x^2 - 3x - 15 on the bottom

Answer 11

Then you ask yourself -x^2 times what give you -3x^2 (just like the first step)
The answer is 3 so you write + 3 up in your answer next to your -4x

Once you write +3 then you "distribute" with the (-x^2 - x - 5)
and you write down "on the bottom"
-3x^2 - 3x - 15
because we are subtracting.. change all of the signs
3x^2 + 3x + 15 and draw a line

add them up.. you should get all zeros. So your answer is
-4x + 3 that means (-4x + 3) times (-x^2 - x - 5) = your original
4x^3 + x^2 + 17x + 15