document.write( "Question 328850: Hello. I was hoping you could please help me with this problem.\r
\n" ); document.write( "\n" ); document.write( "I have to factor completely, and if prime, say so.\r
\n" ); document.write( "\n" ); document.write( "a. 40x^3 - 64x^2y\r
\n" ); document.write( "\n" ); document.write( "b. 13-14y + y^2\r
\n" ); document.write( "\n" ); document.write( "c. 9x^2- 30 + 25\r
\n" ); document.write( "\n" ); document.write( "I was hoping you could please show me how to factor these, because I don't know how to. Thank you so much.
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Algebra.Com's Answer #235630 by Edwin McCravy(20055) $\"\"$ $\"About$

You can put this solution on YOUR website!

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document.write( "a.   \r\n" );
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document.write( "The largest whole number that will divide into both  and  is .\r\n" );
document.write( "So we can take out an .\r\n" );
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document.write( "The largest power of x that will divide into both  and \r\n" );
document.write( "is .\r\n" );
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document.write( "So we can take out \r\n" );
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document.write( "b.   \r\n" );
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document.write( "Write it in descending order:\r\n" );
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document.write( "Think of two positive integers which multiply to give 13,\r\n" );
document.write( "and when added give 14. \r\n" );
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document.write( "[If the red sign had been - I would have said \"subtracted\"]\r\n" );
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document.write( "They are 13 and 1\r\n" );
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document.write( "Write this\r\n" );
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document.write( "(x   13)(x   1)\r\n" );
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document.write( "Since the green sign is -, put a minus before the large of those\r\n" );
document.write( "two numbers which is 13:\r\n" );
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document.write( "(x - 13)(x   1)\r\n" );
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document.write( "Since the red sign is negative put the OPPOSITE sign before the 1\r\n" );
document.write( "that you put before the 13.\r\n" );
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document.write( "(x - 13)(x + 1)\r\n" );
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document.write( "[If the red sign had been + I would have said \"SAME\"]\r\n" );
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document.write( "c.   \r\n" );
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document.write( "This is a special case where the first term and the last term are both\r\n" );
document.write( "perfect squares.  the  has square root  and the \r\n" );
document.write( "has square root .  Multiply these square roots together, getting ,\r\n" );
document.write( "and then double that, getting .  Since this is the absolute value\r\n" );
document.write( "of the middle term, the trinomial is a perfect square, so write\r\n" );
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document.write( "(3x   5)²\r\n" );
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document.write( "and the sign that goes between them is the same sign as the middle term:\r\n" );
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document.write( "(3x - 5)²\r\n" );
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document.write( "Edwin

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