Question

HELPPP
Part 1: Suppose you divide a polynomial by a binomial. How do you know if the binomial is a factor of the polynomial? Create a sample problem that has a binomial which IS a factor of the polynomial being divided, and another problem that has a binomial which is NOT a factor of the polynomial being divided.

Answer 1

@mathmale Someone need your help

Answer 2

thanx @TheRealMeeeee

Answer 3

First, Phebe, are you familiar with synthetic division? If not, are you familiar with long division?

Answer 4

no

Answer 5

plzz make this short forr me k , don't giv me hours of explaing k

Answer 6

are u going to help me ??

Answer 7

Phebe, I want to help. But if you're not familiar with either synthetic division or long division, then explaining this problem is going to take a while. So, you're not in a position to be asking for a "short" explanation. What do you want to do? Move on to some other problem or to spend enough time on this one so that you really do understand it?

Answer 8

I'm afraid you're going to have to choose one of those alternatives or to propose another. This problem is challenging in that YOU have to invent at least two different polynomials. That requires knowledge of what will happen if you make this choice or that choice.

Answer 9

what about this??
x^2- 3x- 10 divided by x+10 place x^2- 3x- 10 under the (/) which means place the x+10 outside the ( / ).
Then divide x by x^2
Then subtract x^2 -3x and x^2 +2x
which gives you 0-5x-10
then multiply x+2 by whatever would give you -5x -10
the answer is x-5
IS THIS IS RIGHT

Answer 10

@Phebe don't treat the Great Mr.Mathmale Like that he'll keep explaining until you can go and teach other people this. Please Listen to every word he says

Answer 11

ok @TheRealMeeeee i really wasn't being mean tho

Answer 12

What you have done was "long division." So, again, I ask you: Are you familiar with long division? Seems as though you said "NO" earlier.

Answer 13

yes i made a mistake my bad

Answer 14

Well, that mistake cost us some valuable time.
If you do know long division and can demonstrate it, you're in good shape.

Answer 15

ok thank you

Answer 16

If you divide x+10 into x^2- 3x- 10, you do indeed obtain the quotient, x-5. If you don't believe this, you can multiply (x+5) times (x+10) to verify that this gives you x^2- 3x- 10.

I won't check it myself.

Now suppose you modify your polynomial x^2- 3x- 10 slightly: change that -10 to -9 and try the division again.

What do you foresee will happen? What actually happens?

Answer 17

ok @mathmale i've got the answer to my question thank you XD

Answer 18

In one case you have a polynomial that IS divisible by a binomial.


OK...happy that you've gotten your answer(s). That wasn't a bad conversation, was it? ;)

Answer 19

lol not really u tried and i appreciate it GOD JOB!! XD

Answer 20

i mean good job

Answer 21

Many thanks, Phebe! See you again on OpenStudy! And thanks to our friend TheRealMeeeee.

Answer 22

Splendid Work @mathmale

Answer 23

We make a good team, @TheRealMeeee, and I appreciate it.

Answer 24

ikr XD see u later too

Answer 25

Anytime

Answer 26

XD