Hor Kuok Theng's answer to Nabanita bose's Secondary 4 E Maths Singapore question.

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Hor Kuok Theng
Hor Kuok Theng's answer
20 answers (A Helpful Person)
1st
It is essentially the same as any other factorization problem, just with the usual order reversed.
J
J
4 years ago
Either square root could take the negative, not just the square root of 9x² i.e it can be equivalently written as (3x - 2y)² as well.
So it's not really correct to say that 'since 4y² is positive, the factor producing 9x² is negative'. Rather, whichever square root you take as positive makes the other negative.
Hor Kuok Theng
Hor Kuok Theng
4 years ago
Thanks for the comment, J!

Factorizing polynomials may lead to more than one correct solution. In this case, I used the word know with the same connotation of "We can deduce, for at least one possible solution"

If that offended you, I do apologize!
J
J
4 years ago
Oh I see. No offence caused, just clarifying