document.write( "Question 395652: Please walk me thru this problem, especially the process for determining each of the factors:\r
\n" ); document.write( "\n" ); document.write( "Solve: 5x^2 - 8x +3 = 0. My text says that the factors are (5x-3)(x-1). I don't understand how they got this. thank you. \n" ); document.write( "

Algebra.Com's Answer #280776 by ewatrrr(24785) $\"\"$ $\"About$

You can put this solution on YOUR website!


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document.write( "Hi
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document.write( "5x^2 - 8x +3 = 0   |After factoring, the factors must represent the original
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document.write( "factoring to a product (__ -  __)(  -  __) Note:  -1*-3 = 3
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document.write( " (5x -  __)(x  -  __)   |5x and x need to be in the 1st spots
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document.write( " (5x -  __)(x  -  __)   | 3 and 1 need to go into one or the other of 2nd spot blanks
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document.write( " (5x -3)(x-1)=0        |this arrangement works for placing the 3 and 1
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document.write( " Noting: The SUM of the inner product(-3x) and the outer product(-5x) = -8x\r
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document.write( "CHECKING our Answer
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document.write( " 5x(x-1) - 3(x-1) = 5x^2 - 5x - 3x +3 = 5x^2 -8x +3
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document.write( "Hope this helps to clarify this
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document.write( "Another ex would be:
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document.write( " x^2 -5x + 4   | -4*-1 = 4
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document.write( "(x - 4)(x - 1) |SUM of the inner product(-4x) and the outer product(-x) = -5x
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