# Thread: Factoring polynomial by grouping

1. ## Factoring polynomial by grouping

Hello guys vaironxxrd here again I just want to check my answer for factoring these polynomials.

4X\sqrt{2} -3X-10 - Given trinomial

Result = (X-2) + (4x +5)

In my previous steps after I got the binomials I was told that they could be factored out, is this true can someone show me how?

Also I will soon have my geometry test , what do you guys recommend me for remembering the formulas I will not be given, like midpoint and distance formula.

2. Originally Posted by vaironxxrd
Hello guys vaironxxrd here again I just want to check my answer for factoring these polynomials.

4X\sqrt{2} -3X-10 - Given trinomial

Result = (X-2) + (4x +5)

In my previous steps after I got the binomials I was told that they could be factored out, is this true can someone show me how?

Also I will soon have my geometry test , what do you guys recommend me for remembering the formulas I will not be given, like midpoint and distance formula.

\sqrt{2} is $\displaystyle \sqrt{2}$ , Not $\displaystyle X^2$

You probably meant to write: $\displaystyle 4x^2-3x-10$

And the above is not equals to RESULT!

$\displaystyle 4x^2-3x-10=4x^2-8x+5x-10=4x(x-2)+5(x-2)=(x-2)(4x+5)$

3. Originally Posted by vaironxxrd
Hello guys vaironxxrd here again I just want to check my answer for factoring these polynomials.

4X\sqrt{2} -3X-10 - Given trinomial

Result = (X-2) + (4x +5)

In my previous steps after I got the binomials I was told that they could be factored out, is this true can someone show me how?

Also I will soon have my geometry test , what do you guys recommend me for remembering the formulas I will not be given, like midpoint and distance formula.

When factoring, there is no '+' between factors - factoring is a process by which you split a polynomial into its factors - you are multiplying them, not adding!

4. Originally Posted by Also sprach Zarathustra
\sqrt{2} is $\displaystyle \sqrt{2}$ , Not $\displaystyle X^2$

You probably meant to write: $\displaystyle 4x^2-3x-10$

And the above is not equals to RESULT!

$\displaystyle 4x^2-3x-10=4x^2-8x+5x-10=4x(x-2)+5(x-2)=(x-2)(4x+5)$
yes I did, wait so I was still right? but I just din't write the whole process's?

Originally Posted by Quacky
When factoring, there is no '+' between factors - factoring is a process by which you split a polynomial into its factors - you are multiplying them, not adding!
Sorry for that, Thanks for letting me know.