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October 06, 2025, 12:43:34 am
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Author Topic: Algebra 2 help!  (Read 1323 times)  Share 

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Richiie

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Algebra 2 help!
« on: March 20, 2009, 09:04:02 pm »
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If 3x^2+10x+3 = c(x−a)(x−b) for all values of x, find the values of a, b and c.

All I've done so far is expanded the coefficients so; 3x^2+10x+3=cx^2-(cb+ac)x+acb

c=3
-cb-ac=10
abc=3

Help is appreciated!
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dekoyl

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Re: Algebra 2 help!
« Reply #1 on: March 28, 2009, 03:43:45 pm »
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You can take the 3 out from the equation:
then complete the square or use the quadratic equation.
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kamil9876

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Re: Algebra 2 help!
« Reply #2 on: March 28, 2009, 04:55:42 pm »
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 But the coefficient of 3 we don't want because the question wants it in the form where no coefficient is next to an x.

Hence change the expression to:



and watch out for negatives...
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Voltaire: "There is an astonishing imagination even in the science of mathematics ... We repeat, there is far more imagination in the head of Archimedes than in that of Homer."

Richiie

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Re: Algebra 2 help!
« Reply #3 on: April 04, 2009, 07:10:00 am »
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Thank you! :)
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