Question

Please help. Solving polynomial equations.
0=x^3+8x^2+17x+10

Answer 1

By inspection -1 is a zero

Next divide x^3+8x^2+17x+10 by x+1 using synthetic division and get the compressed quadratic

Answer 2

how did you inspect!
evaluating -1

Answer 3

its not hard to work -1 + 8 -17 + 10 in head

Answer 4

I'm not good at arithmetic haha :)

Answer 5

How would you devide it? Biggest problem I'm having.

Answer 6

familiar with synthetic division ?

Answer 7

They want long division

Answer 8

have you done something of this sort

Answer 9

where do you have difficulty

Answer 10

Im not sure where to start it off.

Answer 11

okay so what should multiply x to get x^3?

Answer 12

by what should we multiply x to get x^3, darn my language fails me

Answer 13

Lol. Should multiply x

Answer 14

i get bored if there is no cooperation
so can you cooperate with me here to finish this

Answer 15

I am?

Answer 16

sorry the battery was drained lol

Answer 17

ok answer me what do we need to get to x^3

Answer 18

x times what gives x^3?

Answer 19

I am on here because i am not the smartest person at math. Im sorry if i dont understand something. My teacher is one of those people who doesn't teach us anything and just gives us homework and expects us to know it.

Answer 20

X tomes 3

Answer 21

eh I'm not smart either!

Answer 22

no that would be 3x not x^3

Answer 23

Lol smart in mayh at least. And times not tomes

Answer 24

X by its self 3 times

Answer 25

eh ok i will make sure i don 't repeat that lol
my hands don't work with my mind lol

Answer 26

Lol. Btw never use this site on a phone.

Answer 27

eh goood so x.x.x= x^3 smart move
we already have one x so we need to multiply by two more x's
x.(x.x)=x.x^2 yes

Answer 28

so we needed to multiply by x^2 let's put it there

Answer 29

Yeah. So it woulf then be 8x^2+17x+10?

Answer 30

Leaving 8+17x+10

Answer 31

no just follow the x^2 we just found we put it on top
jut like we do with the usual long division for numbers
then we multiply x+1 by x^2 the result we put it under the expression we have
subtract and put the remainder
exactly like we do with the usual long division

Answer 32

sorry somehow the website is slow and brings me headache now lol

Answer 33

Lol. I know. Its being the same for me. Keeps jumping all over.

Answer 34

Ahh. Makes sense.

Answer 35

now wwe need to multiply by 7x to get 7x^2
because 7x times x is 7x^2

Answer 36

Then leaving 17x+10 so we should multiply by 17x?

Answer 37

see what i did

Answer 38

now we are left with 10x+10
what do we do next?

Answer 39

we always look at 10x
the other part we don't look at it that much
we look at 10x so to know what we need to multiply by

Answer 40

I'm irritated now about the website! i hate when i explain and it is going like this