3 BEST ways of factoring trinomials

3 BEST ways of factoring trinomials

[bradnnn]

I just stare at it and guess until something works lol

[Bruh-bkyo]

In my region, we are just solving this equation, getting the roots... and... that's it lol.

[derwolf]

In our region in Germany, we were taught to solve it using 'completing the square', which in my opinion is also pretty fast and easy:
0 = 2 x^2 + 7 x + 6
= 2 (x^2 + 2 x 7/4 + (7/4)^2 - (7/4)^2 + 48/16)
= 2 ((x + 7/4)^2 - (1/4)^2)
= 2 (x + 3/2) (x + 2)

[Ninja]

The way i was taught was the tic-tac-toe but arranged slightly different. We would arrange the x^2 coefficient and the constant term first, then the x coefficient on the furthest right column.

[darkwing]

Learn the berry method! Somewhat similar to the second method...the only difference is you keep a for both factors and then when you finish factoring you factor out the extra a

[wilsonchan]

For me I do a grouping thing that has been strangely helpful for identifying factors. You just split up bx as the two numbers that multiply to ac and add to b. Then you group the first two terms and the last two terms and you should end up with d(x+e) + f(x+e) which factors to (x+e)(d+f)

[teddychen]

The slide and divide method makes sense intuitively but is there a proof?

[tgbvydx]

Is there any method you can use to find those two numbers without using trial and error/guess and check? This year I used such a method but I can't find my notes so I'm unable to remember. It may have had something to do with prime factorization or factoring trees, but I'm not a 100% sure. I do remember that this method was quick and easy - especially when c had a big value. Because of that method, I scored well in school...but I just can't seem to remember. By any chance would you know how to do this?

[johm]

Math is beautiful how it all comes 2 together one way or another

[Drestanto]

I use method 2. But different finishing

[aboaljod]

In my region, we call the first method the scissors ✂ becuase there is a cross ❌ combination on it 😂

[jqfpmrx]

If it is in negative sign, what will you do

[evolvinglovej]

Please explain what you are doing in the videos

[MarsonCoding]

how do you factor quadratic eqns. when the values are big??

[timesplit--ter]

Method 1 is guessing. Method 2 is straightforward.

[PARVSACHDEVA]

You can use a formula b^2-4ac for quadratic polynomials 😂😂😂. There isn’t any need to play tic tac toe in your exams . Otherwise the teacher might play tic tac toe with your answer sheet by using ❌

[samarthsamrat]

We can also do this with the help of quadratic equation

[galaxy]

Others i know but
Tic tac toe Algebra first I see it XD
Play TIC TAC TOE algebra style.

[scarlet]

Can i out 6 and 1 instead of 3 and 6 on the R. H. S of tick toe

[zaherahmed]

I can't understand method 3 how get two brackets