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Mathematics 11 Online
OpenStudy (bbb911):

144x^5 + 168x^4 + 48x^3 Use the foil method to factor. the answer is 3x(8x-1) (7x-1) .. i don't know how that is the answer, i see one part but the rest i'm confused

OpenStudy (ankit042):

Hey I am not sure about foil method but can help you to factorize

OpenStudy (bbb911):

ok

OpenStudy (ankit042):

24x^3(6x^2+7x+2) 24x^3(6x^2+4x+3x+2) 24x^3(3x+2)(2x+1)

OpenStudy (bbb911):

ok i did a long way i think i did x^3(12x ) (12x ) but i was confused further

OpenStudy (ankit042):

Hey sorry I am not able to get the answer can you confirm the answer one more time

OpenStudy (bbb911):

wait sorry bout that i did the wrong problem for that answer. the problem is 168x^3 - 45x^2 + 3x

OpenStudy (ankit042):

ohh! so can you solve this or need my help?

OpenStudy (bbb911):

need ur help the answer is 3x(8x-1) (7x-1) im confused on how to get this answer

OpenStudy (ankit042):

k so lets do this step by step first take out the common 3x out we will get 3x(56x^2-15x+1) does this make sense?

OpenStudy (bbb911):

not really now how do we get tht?

OpenStudy (ankit042):

3x was common in all the terms so we can pull that out. take an example 10+25 can be written as 5(2+5)

OpenStudy (ankit042):

Let me know if it is clear now?

OpenStudy (bbb911):

there it is clear

OpenStudy (bbb911):

when i times 3 8 and 7 i get 168 right?

OpenStudy (ankit042):

Yes but do you know how to reach answer now?

OpenStudy (ankit042):

It will really help if you can answer a bit fast :)

OpenStudy (bbb911):

sorry its cos the hubby isn't giving me time to respond i have to cook while tryin to do my homework

OpenStudy (ankit042):

:O you are married

OpenStudy (ankit042):

anyway you need more help..or got the answer?

OpenStudy (bbb911):

i was trying to multiply 8 and 7 which would give me 56 but

OpenStudy (bbb911):

yeppy :)

OpenStudy (ankit042):

Lets solve it from here 3x(56x^2-15x+1)

OpenStudy (ankit042):

you know how to factorize quadratic equation?

OpenStudy (bbb911):

just one sec how did you get the 15?

OpenStudy (ankit042):

168x^3 - 45x^2 + 3x divide each term by 3x

OpenStudy (ankit042):

so basically we are dividing and multiplying each term by 3x and we get 3x(56x^2-15x+1)

OpenStudy (bbb911):

okay i see how you got 15 you divide 3 by 45 then divide 3 168 right?

OpenStudy (ankit042):

right :)

OpenStudy (ankit042):

so now we can this equation 3x(56x^2-15x+1)

OpenStudy (ankit042):

lets factorize the quadratic equation

OpenStudy (ankit042):

56x^2-15x+1

OpenStudy (bbb911):

okay so we remove the 3x or

OpenStudy (ankit042):

NO 3x will stay but we are doing question in parts. Once we find the solution for quadratic we will plug in everything. know you have to find two numbers (a,b)such that a*b = 56 and a+b =-15

OpenStudy (ankit042):

think what will be factors of 56

OpenStudy (bbb911):

oh i see we factor it again right?

OpenStudy (ankit042):

sorry I have to sleep now....I will tell you the steps you can have a look. In case you have doubts message me I will reply back with all your doubts. so we had 3x(56x^2-15x+1) this can be written as 3x(56x^2-8x-7x+1) 3x(8x(7x+1)-1(7x-1)) 3x(8x-1)(7x-1)

OpenStudy (ankit042):

Hope you understood..otherwise message me your doubts! GN

OpenStudy (bbb911):

okay ill see if can figure it out thank so much for helping me :)

OpenStudy (ankit042):

no problem :) have a look and message me if something is not clear

OpenStudy (bbb911):

kk will tdo thanks :)

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