Question

Using synthetic division, what is the quotient: (y3 + 6y2 + 10y + 3) ÷ (y + 3) ?

Answer 1

So again we do the same set up for the last question you asked...
y+3=0 when y=-3
-3| 1 6 10 3 <----coefficients of the terms on top
|
===================
^
|
bottom's zero

Answer 2

3| 1 6 10 3
|
===================

First Step: Bring down that 1

3| 1 6 10 3
|
===================
1

Second Step: Multiply 3 and 1
That result goes under the 6 like so:
3| 1 6 10 3
| 3
===================
1
Third Step: Add the 6 and 3
3| 1 6 10 3
| 3
===================
1 9
Fourth Step: Multiply that 9 and that 3 on the outside (the bottom's zero)
3| 1 6 10 3
| 3 27
===================
1 9

Answer 3

What is the next step? What is your guess on the next step?

Answer 4

ummm idk

Answer 5

im having trouble what would be the answer to make sure im right

Answer 6

Sorry I had a quick think to do
I don't know the answer until I have worked it out so lets do it together

Answer 7

@KingJ So just like we added the 6 and 3
We need to also add the 10 and 27

Answer 8

3| 1 6 10 3
| 3 27
===================
1 9 37

So you can think of it like this the numbers in vertical formation add those
The numbers at sorta a diagonal you multiply those
like So we do 3 times 37 to figure out what goes underneath the last coefficient (the 3)

Answer 9

Since 3(37)= 111 we have
3| 1 6 10 3
| 3 27 111
===================
1 9 37 | <----This last number will be our Remainder

Answer 10

What is the remainder?

Answer 11

What operation do we perform on the 3 and 111?

Answer 12

The numbers are vertical and I said the operation you perform is....?

Answer 13

you add the 3 and 111

Answer 14

:) Right! Perfect!

Answer 15

3| 1 6 10 3
| 3 27 111
===================
1 9 37 | 114


Ok so we have
1x^2+9x+37+114/(y+3)

Answer 16

so we divide n i should have my answer

Answer 17

We are done

Answer 18

We already divided

Answer 19

so the answer would be y2+3y+1