Question

Anyone have a flowchart for factoring polynomials?
Doc form please

Answer 1

I searched on line but did not find one I can print out

Answer 2

Hmm I seem to have one, but its not exactly a flow chart. I 'll post an example okay?


So, factoring a quadratic is done using what we call "splitting of the middle term".

I ‘ll take an example, 2x^2+13x+15

let the standard quadratic be ax^2 + bx + c.

we basically take all the factors of 'a' and 'c' and rearrange them in two groups, so that subtracting or adding them i get 'b', taking care of the signs ofcourse.

let me show you how.

here we have ----> 2x^2 + 13x + 15

so 'a' and 'c' here are 2 and 15
combined prime factors are 1,2,3,5

so let me group (1,2,3), and (5). i get (1x2x3)+(5) = 6 + 5 =11. this is not equal to 'b' that is 13.

so we try another combination. lets try for (1,2,5) and (3). here, (1x2x5)+(3)= 13

so this one will work!! so we split 13x as 10x+3x

so now i write the expression as:

2x^2+13x+15
= 2x^2 + (10)x + (3)x + 15
= 2x(x+5) + 3(x+5)
= (2x+3)(x+5) <-------

See if that helped?

Answer 3

Thanks but I know the concept. I need something I can give someone who is struggling. Thanks again.

Answer 4

Thanks

Answer 5

Hmm, I 'll post a link if I find a good one. :)

Answer 6

https://www.google.com/search?rlz=1C1ASUT_enNP447NP447&aq=f&sourceid=chrome&ie=UTF-8&q=Descartes'+Rule+of+Signs

Answer 7

https://www.google.com/search?rlz=1C1ASUT_enNP447NP447&aq=f&sourceid=chrome&ie=UTF-8&q=Descartes'+Rule+of+Signs#hl=en&rlz=1C1ASUT_enNP447NP447&sclient=psy-ab&q=remainder+theorem&oq=remainder+the&aq=0&aqi=g10&aql=&gs_l=serp.3.0.0l10.18463l22449l1l24298l13l12l0l0l0l0l1266l11312l5-4j2j6l12l0.frgbld.&psj=1&bav=on.2,or.r_gc.r_pw.r_cp.r_qf.,cf.osb&fp=7db0b50b83c4e821&biw=1366&bih=667

Answer 8

I am looking for something more basic. I have one but I am too lazy to edit. I might have to........

Answer 9

To be honest this quite advanced topic ... i don't have much knowledge ... better if asked to FFM or KingGeorge

Answer 10

no basic
high school algebra level. No synthetic division.
Thanks probably faster to edit mine.

Answer 11

**remainder theorem

Answer 12

descartes sign rule ... I think this is quite difficult, but i've seen some kids do this on high school.

Answer 13

maybe preap or honors...... going to edit mine now. Talk to you later

Answer 14

seeya ..