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Coda · Posted 02-03-2017, 12:59 AM

If you're multiplying the factors together to get back the original equation, then you can always be off by a constant multiple. That is, (x² - x) and (2x² - 2x) have the same roots (x and (x-1)) but they differ by multiplying the entire expression by a constant.

If it matters, and you don't know, write k(x² - x). If it matters and you need to find out, then you need at least one non-zero point on the curve and then you can plug that into the expression and solve for k.

Coda Developer			#175
	If you're multiplying the factors together to get back the original equation, then you can always be off by a constant multiple. That is, (x² - x) and (2x² - 2x) have the same roots (x and (x-1)) but they differ by multiplying the entire expression by a constant. If it matters, and you don't know, write k(x² - x). If it matters and you need to find out, then you need at least one non-zero point on the curve and then you can plug that into the expression and solve for k. Games by Coda (updated 4/8/2025 - New game: Marianas Miner) Art by Coda (updated 8/25/2022 - beatBitten and All-Nighter Simulator) Mega Man: The Light of Will (Mega Man / Green Lantern crossover: In the lead-up to the events of Mega Man 2, Dr. Wily has discovered emotional light technology. How will his creations change how humankind thinks about artificial intelligence? Sadly abandoned. Sufficient Velocity x-post)
		Posted 02-03-2017, 12:59 AM