How to factor a 5-term 4th degree polynomial (factor by grouping)
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- เผยแพร่เมื่อ 16 เม.ย. 2024
- Learn how to factor a 5-term polynomial x^4-4x^3+2x-11x+12 by grouping. We will also need to know how to factor a quadratic trinomial in the form of ax^2+bx+c and also the difference of two cubes. Factoring polynomials is crucial for solving polynomial equations for your algebra and precalculus classes. Check out different methods of factoring this 5-term polynomial below.
5 easy ways of factoring ax^2+bx+c • 5 easy ways of factori...
Factoring the sum/difference of two cubes • How to factor the sum ...
By rational zero theorem: • How to factor a 5-term...
The double-cross method: • How to factor a 5-term...
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when you dropped that "now this is a difference of two cubes", I laughed pretty hard. That was fun, thanks.
So how do you write it in form: differece of two cube
Best maths videos on TH-cam. Fun, engaging, easy to follow!
Thank you!
Oooh Thanks a lot ....... After 2 years my doubt got cleared 🎉
I was literally struggling with these types of maths and this video of yours helped me a lot
Again thank you sir .....
The most interesting and math. Loving channel I have ever seen in TH-cam
Amazing method, I learnt it finally and solved another quartic equation. Better than ferrari method taught in college.
Nice
I have always done it horner scheme ( method )
I have never seen the "tic tac toe" method and its definitely an interesting way to do it. Although I feel like the way you do it solves it backwards. Normally I multiply the first coefficient and the constant and then figure out what factors add up to the middle term in my head because its usually pretty easy. 2*12=24, -8-3=-11 in this case. And then I would factor by grouping. But instead of guessing -3 and -4 in this method and checking with the cross multiplication, if you just divide -8x and -3x by 2x and x respectively, I can skip doing the whole grouping and get the -4 and -3. Even in simple algebra you can still learn new methods. Love math!
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I love your videos, but I can't help thinking, "What are the practical applications of these equations?"
It's used in constructions everywhere . Making equations so that all these big structures you see around fit perfectly becuz with big constructions you can't measure everything like a block puzzle , it requires heavily mathematically calculated parts so that they fit safely and strongly . That's y we learn all this in school .
@@PratishthaJain-ij2vc I must've went to a really sshhiittyy school.
next: factor by quartic formula
If it wasnt grouping, factor theorem can help solve this