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Mathematics 7 Online
OpenStudy (godlovesme):

help with factoring please :)

OpenStudy (godlovesme):

\[x^2-11x+24\]

OpenStudy (godlovesme):

@FibonacciChick666

OpenStudy (godlovesme):

@jim_thompson5910 help please

OpenStudy (campbell_st):

can you tell me 2 factors of 24 that add to -11, both factors are negative

OpenStudy (fibonaccichick666):

so do two numbers exist that multiply to 24 and add to -11?

OpenStudy (godlovesme):

-8&-4 ? @campbell_st & @FibonacciChick666

OpenStudy (campbell_st):

with the last term positive and the middle term negative, you need to know that both factors will be negative... multiplying 2 negatives gives a positive

OpenStudy (campbell_st):

well that multiplies to 32...

OpenStudy (fibonaccichick666):

^what he said, but I know it's a type-o, so now, (this is sort of a memorization thing) you plug it into this \[(x+?)(x+?)\]

OpenStudy (fibonaccichick666):

to check your answer, FOIL it and see if you get the same thing

OpenStudy (godlovesme):

i mean 8 and 3 @campbell_st

OpenStudy (fibonaccichick666):

again a type o?

OpenStudy (campbell_st):

that's correct... -8 and -3.... so now you can write it in factored form...

OpenStudy (godlovesme):

yea forgot the -ve >.<

OpenStudy (godlovesme):

idk how to though i'm kinda new to this stuff :P

OpenStudy (campbell_st):

so some of the basic rules x^2 - bx + c both factors are negative x^2 +bx+ c both factors are positive x^2 -bx - c the larger factor is negative and the smaller is positive x^2 +bx - c the larger factor is positive and the smaller is negative

OpenStudy (godlovesme):

@campbell_st

OpenStudy (campbell_st):

well use the basic rules I have in the last post... then know the factors of the constant, or last term. being able to identify the sign of the factors as the 1st step.. will save time and give you greater confidence. its all about practise

OpenStudy (godlovesme):

so mine is in the x^2+bx-c form??

OpenStudy (godlovesme):

@FibonacciChick666

OpenStudy (campbell_st):

no your question was in the form x^2 -bx + c which means both factors are negative

OpenStudy (fibonaccichick666):

so when I said the memorize thing that is the form, but let @campbell_st explain that, because I forgot how I learned it :X

OpenStudy (fibonaccichick666):

(so I just cannot explain it properly)

OpenStudy (godlovesme):

its okay @FibonacciChick666 thanks :)

OpenStudy (campbell_st):

I'd recommend you write out the table and keep it with you when you do these type of questions. Identifying via practise is far better than memorising. There is already to much to remember...

OpenStudy (godlovesme):

what table @campbell_st

OpenStudy (campbell_st):

this simple one x^2 +bx + c both factors are positive x^2 -bx + c both factors are negative x^2 - bx- c the larger factor is negative and the smaller is positive x^2 + bx - c the larger factor is positive and the smaller negative

OpenStudy (godlovesme):

what do i do with the x

OpenStudy (godlovesme):

@campbell_st sorry this is actually my first time doing this :/ and i'm really confused

OpenStudy (campbell_st):

ok... so you question x^2 - 11x + 24 is in the form x^2 - bx + c look at the post... and it says 2 negative factors... which is what you found a question like this x^2 + 5x + 6 is like x^2 +bx + c so 2 positive factors 2 and 3 x^2 -x - 6 is like x^2 -bx - c so the larger is negative smaller positive -3, 2 x^2 + 5x - 6 is like x^2 + bx - c the larger is positive and the smaller negative 5 and -1 hope it makes sense

OpenStudy (godlovesme):

yes kinda but is there other step

OpenStudy (godlovesme):

@campbell_st

Nnesha (nnesha):

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