Question

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

I dont understand where to start :/

Answer 2

@TwilightRain1

Answer 3

uhhhh i learned this a few months ago, but i forgot...

Answer 4

its all good

Answer 5

@TheSmartOne

Answer 6

@KendrickLamar2014

Answer 7

@baller398

Answer 8

alright, I'm here

Answer 9

do you know how to do this sort of stuff

Answer 10

to day is your lucky day yes i do so, After you've done the division, you know the binomial is a factor if the remainder is zero.

(3x^3 - 2x^2 - 2x - 5) / (3x - 5) = x^2 + x + 1
Since there is no remainder, 3x - 5 is a factor of 3x^3 - 2x^2 - 2x - 5.

(3x^3 - 2x^2 - 2x - 7) / (3x - 5) = x^2 + x + 1 with remainder -2.
Since the remainder is not zero, 3x - 5 is not a factor of 3x^3 - 2x^2 - 2x - 7.

Answer 11

tell me that helped!!!!

Answer 12

it did, but I'm just horrible at algebra. i failed last year once we got into this sort of stuff dealing with binomials and all of that. do you mind explaining the division part? where you said "after you've done the division"

Answer 13

@lsherron

Answer 14

long division

Answer 15

ill be right back i need to help som one realy qiick

Answer 16

alright its all good

Answer 17

I'm just trying to wrap my head around the concept. i think i understand it for the most part. I'm just bad with numbers. ill try to make my own problem now. one sec

Answer 18

what numbers do you divide? to then get the remainder

Answer 19

https://www.khanacademy.org/math/arithmetic/multiplication-division/long_division/v/long-division-with-remainder-example

Answer 20

this will help

Answer 21

ok ill check it out, thanks

Answer 22

np

Answer 23

i don't fully understand still

Answer 24

@dan815

Answer 25

@paki

Answer 26

@baller398

Answer 27

lol, HERE!

Answer 28

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