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Have you learned factoring?

This is an example of factoring trinomials :)

can you please help

im stuck and need to be done within the hour

this one factors

ok

do you know how it factors?

ehh not really :(

me neither
i cheat

:( lol

|dw:1433297189737:dw|

factors as
\[(2x-1)(2x-5)=0\] would you like to know how i know it?

Or that...

yes please!

i have never figured out a way to factor other than to grind it til i find it

thanks :)
Ok well fist you want to multiply the a and c value what do you get?

this is algebra 1 incase you where wondering!

Whats
\[\huge 5 \times 4 \]

20...

good and our B value is -12 right?

yes sir

|dw:1433297395133:dw|

ok

Now ask yourself what multiplies into -20 BUT also adds up to -12?

You will have 2 numbers...

2 and 10?

multiplies into 20...

or 4 and 5

oh right multiplies into 20 but adds to -12
you are close with 10 and 2

you need a sign on both numbers...

-2 and -10?

or -2 and 10

yes! :)
Now...
\[\huge~(4x^2-2)+(10x+5)\]

Now find the GCF

for each...

-2 for the first and 5 for the second?

thank you aureyliant!

\(\huge~(4x^2-2\color{red}{x})+(10x+5)\)

Are you trying to find the zeros?

\(\huge~(4x^2-2\color{red}{x})\color{red}{-}(10x\color{red}{-}5)\)

You have the signs messed up but 2x and 5 is right :)
\[\huge 2x(2x-1)+5(2x-1)\]

*minus

xD

so 2x(2x-1) - 5 (2x-1)?

i know but im making sure that was correct XD

(2x - 5)(2x - 1)

You need to combine the first loner and the second loner and bring them together

ok is that all to it?

Then you set both equations to 0

2x-5=0
2x-1=0

^^ Yup

ok

Solve it .-.

Now you could either do that or use the quadratic formula

But thats a story for another day

^no

Just set it to 0 its sooooo much more easier

can you guide me through setting through 0?

It depends on the type of factoring Q Pooja

2x-5=0
we want to isolate X

It may not be as easy to split the middle term

ok

so start by adding 5

that way on the left side the 5 will cancel what does the equation look like now?

ok so 2x=5?

Yes now just divde both sides by 2

what do you get?

1x=1/2????

No

keep the 5

you get x=5/2

X=5?

just kidding

-_- i gave u the answer :P

2x-1=0
solve

I think you answered this one earlier...

2x=1

so 1/2

YES!
now what are the 2 answers?

please get this right -.-

5/2 and 1/2

Good! :)

lol im nervous!

why so? :P
and why did we choose this do you know?

no..

You tell me because i dont know either.

LOL

We chose this because it was an easier method in my books?

Find a better reason -_-