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+--- Thread: How to factorize this polynomial (/thread-18698.html)
How to factorize this polynomial - rancom - 08-23-2022 12:02 PM
Hi all, I am learning math and learning how to use the HP Prime as well.
How do I factorize 4x^2+36xy+81y^2 and get (2x+9y)^2 as a result?
Things I've tried in CAS view:
- factor(4x^2+36xy+81y^2) -> 36xy+4x^2+81y^2
- factors(4x^2+36xy+81y^2) -> [4*x^2+81*y^2+36*xy,1]
- simplify(4x^2+36xy+81y^2) -> 4x^2+36xy+81y^2
- collect(4x^2+36xy+81y^2) -> 4x^2+81y^2+36xy
- cfactor(4x^2+36xy+81y^2) -> 4x^2+81y^2+36xy
RE: How to factorize this polynomial - robmio - 08-23-2022 05:16 PM
(08-23-2022 12:02 PM)rancom Wrote: Hi all, I am learning math and learning how to use the HP Prime as well.
How do I factorize 4x^2+36xy+81y^2 and get (2x+9y)^2 as a result?
Things I've tried in CAS view:
- factor(4x^2+36xy+81y^2) -> 36xy+4x^2+81y^2
- factors(4x^2+36xy+81y^2) -> [4*x^2+81*y^2+36*xy,1]
- simplify(4x^2+36xy+81y^2) -> 4x^2+36xy+81y^2
- collect(4x^2+36xy+81y^2) -> 4x^2+81y^2+36xy
- cfactor(4x^2+36xy+81y^2) -> 4x^2+81y^2+36xy
You have to put the multiplication sign between the numbers, the variable "x" and the variable "y".
RE: How to factorize this polynomial - parisse - 08-23-2022 05:16 PM
Add a * between x and y, otherwise xy is interpreted as a single variable with a name identifier of length 2.
RE: How to factorize this polynomial - robmio - 08-23-2022 05:17 PM
(08-23-2022 05:16 PM)robmio Wrote: [quote='rancom' pid='163314' dateline='1661256139']
Hi all, I am learning math and learning how to use the HP Prime as well.
How do I factorize 4x^2+36xy+81y^2 and get (2x+9y)^2 as a result?
Things I've tried in CAS view:
- factor(4x^2+36xy+81y^2) -> 36xy+4x^2+81y^2
- factors(4x^2+36xy+81y^2) -> [4*x^2+81*y^2+36*xy,1]
- simplify(4x^2+36xy+81y^2) -> 4x^2+36xy+81y^2
- collect(4x^2+36xy+81y^2) -> 4x^2+81y^2+36xy
- cfactor(4x^2+36xy+81y^2) -> 4x^2+81y^2+36xy
You have to put the multiplication sign between the numbers, the variable "x" and the variable "y".
RE: How to factorize this polynomial - Steve Simpkin - 08-23-2022 05:30 PM
(08-23-2022 05:16 PM)robmio Wrote:(08-23-2022 12:02 PM)rancom Wrote: Hi all, I am learning math and learning how to use the HP Prime as well.
How do I factorize 4x^2+36xy+81y^2 and get (2x+9y)^2 as a result?
Things I've tried in CAS view:
- factor(4x^2+36xy+81y^2) -> 36xy+4x^2+81y^2
- factors(4x^2+36xy+81y^2) -> [4*x^2+81*y^2+36*xy,1]
- simplify(4x^2+36xy+81y^2) -> 4x^2+36xy+81y^2
- collect(4x^2+36xy+81y^2) -> 4x^2+81y^2+36xy
- cfactor(4x^2+36xy+81y^2) -> 4x^2+81y^2+36xy
You have to put the multiplication sign between the numbers, the variable "x" and the variable "y".
I don't believe you have to put a multiplication symbol between a number and its variable when entering the equation. For example entering; factor(4x^2+36x*y+81y^2) appears to be automatically interpreted as factor(4*x^2+36x*y+81*y^2) without having to enter the * after the 4, 36 or 81.
[attachment=11014]
RE: How to factorize this polynomial - robmio - 08-23-2022 05:35 PM
(08-23-2022 05:30 PM)Steve Simpkin Wrote:(08-23-2022 05:16 PM)robmio Wrote: You have to put the multiplication sign between the numbers, the variable "x" and the variable "y".
I don't believe you have to put a multiplication symbol between a number and its variable when entering the equation. For example entering; factor(4x^2+36x*y+81y^2) appears to be automatically interpreted as factor(4*x^2+36x*y+81*y^2) without having to enter the * after the 4, 36 or 81.
Wow, I didn't know. Thank you so much for letting me know this possibility.
Regards, Roberto
RE: How to factorize this polynomial - rprosperi - 08-23-2022 05:48 PM
It's beginning to look like Facebook here fellas, 1 or 2 of the same answers are probably enough... LOL
RE: How to factorize this polynomial - toml_12953 - 08-23-2022 10:35 PM
(08-23-2022 05:48 PM)rprosperi Wrote: It's beginning to look like Facebook here fellas, 1 or 2 of the same answers are probably enough... LOL
Oh, go put a multiplication sign in that!
I know that answers don't show up immediately for me so sometimes I answer a question that's been answered two or three times (or more!) before I see them.
RE: How to factorize this polynomial - rancom - 08-24-2022 07:48 AM
(08-23-2022 05:48 PM)rprosperi Wrote: It's beginning to look like Facebook here fellas, 1 or 2 of the same answers are probably enough... LOL
I found out the answer guys, I have to add a multiplication sign between x and y.
In all seriousness, thank you all for this info!