What’s the difference between common factoring and trinomial factoring? I’m stuck on these questions, especially number 4. Help anyone?

[Anonymous]

[nopedydoo]

https://pasteboard.co/H1sob59.jpg hope this helps. Basically trinomial you find 2 numbers that multiple to the last number and sdd to the middle number and you put them into (x+#) unless there is a number at the x^2 that you can't take out with greatest common factor. But you haven't leanred that yet i think. Commom factoring is where you iust find the greatest commom factor. Im doing thr same thing in math rn just more complicated factoring, this was a few units ago

[hasrett]

I don't know what do these words in your question even mean. If I did, I'd probably know how to answer.

[Vindi]

Common factoring is seperating a common term like: 12x^2+4x^2 and the common factor is for example 4x^2. Makes it 4x^2(3+1) or x^2, makes it x^2(12+4), or 2, or 2x^2, etc. Just a way to make it simpler, very useful for when you need to cancel out terms.

Trinomial is seperating quadratics. Like: x^2+5x+6, and the terms from seperating then are (x+2)(x+3), since 2*3 makes 6 and 2+3 make 5.

[Vindi]

( x + 3 ), not emoji

[Vindi]

On question 4. a you can separate the 2, make it a quadratic function and use trinomial factoring. Or you could use the quadratic identity.

[Asker]

The answer I got was 2 (x + 3) ( x + 4 )

[Asker]

The emoji is supposed to be a 3

[Asker]

Is that correct?

[Asker]

And that was for question 4a

[Vindi]

100% correct, well done! If you were to solve for x. The answers would be x = -3 and x = -4.

[Asker]

Ok thank you so much !

[LaughingStick]

common factoring makes no sense.

[Vindi]

I am in engineering and it's really great to analyze certain functions. How your system behaves when certain changes are made. Also when you have a function of 500 meters long, you want to convert as many terms outside and see if you can find a constant. To make it shorter.

[Decentguy]

www.montereyinstitute.org/.../...1_text_final.html

Check that out, i hope it helps

[Anonymous]

www.montereyinstitute.org/.../...1_text_final.html

[NaWaF_98]

So so easy😕 but I don't know how to explain

[_thinker]

trinomial is using bsquare-4ac formula