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Mathematics 9 Online
OpenStudy (jwest6894):

Did i Factor this equation the right way?

OpenStudy (triciaal):

cannot see the equation

OpenStudy (triciaal):

please post all of the question

OpenStudy (jwest6894):

\[x^{3} -8 / 25x - 4x^2 \times 10x +4x/2x^2-9x +10\]

OpenStudy (djmaster):

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OpenStudy (jwest6894):

Ok so first i simplify x^3 - 8... (x-2)(x^2 + 2x + 4)

OpenStudy (jwest6894):

[(x^3−8)/(25x−4x^2)]×[(10x+4x)/(2x^2−9x+10)] im suppose to factor .. dont think im suppose to combine like terms just yet.

OpenStudy (jwest6894):

x^3 - 8 = (x-2)(x^2 + 2x + 4) correct?

OpenStudy (djmaster):

^ yes that is correct

OpenStudy (jwest6894):

(x^2 + 2x + 4) how would i factor

OpenStudy (jwest6894):

because i dont think it can be factored.

OpenStudy (welshfella):

the question is ambiguous - it can be read in different ways is it x^3 - 8 10x + 4x ----------- * ---------- 25x - 4x^2 2x^2 - 9x + 10

OpenStudy (jwest6894):

yes

OpenStudy (welshfella):

use fractions or parentheses with these complicated expressions otherwise its confusing

OpenStudy (jwest6894):

i tried [(x^3−8)/(25x−4x^2)]×[(10x+4x)/(2x^2−9x+10)]

OpenStudy (welshfella):

right - same as mine.

OpenStudy (jwest6894):

(x^2 + 2x + 4) so can i factor this?

OpenStudy (welshfella):

no

OpenStudy (welshfella):

2x^2 - 9x + 10 can be factored though it is (2x - 5)(x - 2)

OpenStudy (welshfella):

then the x-2 will cancel out with the x - 2 from the factors of x^3 - 8

OpenStudy (welshfella):

so we have x^2 + 2x + 4 14x ------------- * --------- 25x - 4x^2 2x - 5

OpenStudy (jwest6894):

didnt think so.. (x-2)(x^2 + 2x + 4) 10x + 4x ----------- * ---------- 25x - 4x^2 2x^2 - 9x + 10 so 25x-4x^2 = x(4x - 25) or would i use the formula?

OpenStudy (welshfella):

x(25 - 4x) is correct

OpenStudy (jwest6894):

(not suppose to be 10x btw) 10 + 4x = 2(5 + 2x) ? 2x^2-9x+10 you use the ac method and get...

OpenStudy (welshfella):

(2x - 5)(x - 2)

OpenStudy (jwest6894):

^thats for 2x^2 - 9x + 10?

OpenStudy (welshfella):

yes

OpenStudy (jwest6894):

how did u get that

OpenStudy (welshfella):

using the ac method 2 * 10 = 20 and 20 = -5 * -4 :- 2x^2 - 9x + 10 = 2x^2 - 4x - 5x + 10 = 2x (x - 2) - 5(x - 2) = (2x - 5)(x - 2)

OpenStudy (jwest6894):

hm..

OpenStudy (welshfella):

dont agree?

OpenStudy (jwest6894):

well i thought

OpenStudy (welshfella):

you thought you'd be able to cancel Pity the top is not 4x - 10 !!

OpenStudy (jwest6894):

2x^2 - 9x + 10 u do 2 time 10 which equals 20.. Now what can i add to get -9 that i can multiply to get 20? -5 and -4.. so wouldnt it just be (x - 5) (x - 4) ?

OpenStudy (welshfella):

the x-2 cancles though

OpenStudy (welshfella):

No - because we have 2x^2

OpenStudy (welshfella):

and the last 2 numbers in each bracket have to make + 10.

OpenStudy (welshfella):

you use -4x and -5x to give the -9x

OpenStudy (jwest6894):

man factoring is hard...

OpenStudy (jwest6894):

everytime i think i got it i dont

OpenStudy (welshfella):

yea factoring trinomials with x^2 is not so difficult but when you have a number > 1 before the x^2 its more complicated

OpenStudy (welshfella):

this should help you http://openstudy.com/users/welshfella#/updates/55c0a151e4b01850ec7ff57d

OpenStudy (jwest6894):

using the ac method 2 * 10 = 20 and 20 = -5 * -4 :- 2x^2 - 9x + 10 = 2x^2 - 4x - 5x + 10 = 2x (x - 2) - 5(x - 2) = (2x - 5)(x - 2) So hmmm so for the ac method.. u multiply the 2 times 10.. get 20 u ask wha tcan u multiply to get 20 that i can add to get to -9.. -5 + -4 sooo = 2x^2 - 4x - 5x + 10 you take 2x from those to get 2x(x - 2) and you take 5 from those and get 5(x -2) .. ok so can i do it like this if i wantd to? = 2x^2 - 5x - 4x + 10? if not why?

OpenStudy (jwest6894):

like what order do i put that in -4 first or -5

OpenStudy (welshfella):

yse the -5x and -4x may be written in that order but you are lookng for factors - you cant facor 2x^2 - 5x so you swapp them around and then you can factor.

OpenStudy (jwest6894):

oh ok.....

OpenStudy (welshfella):

if you look at the link you'll see a similar situation where I first wrote tye middle terms in the wrong order

OpenStudy (welshfella):

after working out the ac = 20 you can then write it in prime factor form as in the link. I junped a step here - i just went straight to -4 and -5 because they give me the -9x

OpenStudy (jwest6894):

oh ok

OpenStudy (jwest6894):

so if i were to have a test on factoring.. what formulas would i need.

OpenStudy (welshfella):

a^2 - b^2 = (a + b)(a - b) the formulas for a^3 - b^3 and a^3 + b^3 would also be useful.

OpenStudy (jwest6894):

i have ax^3 +b^2 + cx + d = a/b = c/d a^3 + b^3 = (a + b)(a^2-(ab)+b^2) a^3 - b^3 = (a - b)(a^2+(ab)+b^2) a^2 - b^2 = (a-b)(a

OpenStudy (jwest6894):

a^2 - b^2 = (a-b)(a+b)

OpenStudy (welshfella):

for the trinomials you need practice

OpenStudy (jwest6894):

a trinomial has 3 numbers right?

OpenStudy (welshfella):

Yes 3 terms try the following x^2 + 5x + 4 x^2 - x - 6 2x^2 - 5x - 2

OpenStudy (welshfella):

sorry the last one should be 2x^2 - 5x + 2

OpenStudy (welshfella):

gotta go good luck

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