document.write( "Question 254212: Are the following functions linear, quadratic or neither of the two? Explain how you know.\r
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Algebra.Com's Answer #186515 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "\"Linear\" means that the largest exponent of x after the right side\r\n" );
document.write( "is multiplied out and all like terms collected is 1.\r\n" );
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document.write( "\"Quadratic\" means that the largest exponent of x after the right side\r\n" );
document.write( "is multiplied out and all like terms collected is 2.\r\n" );
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document.write( "\"Cubic\" means that the largest exponent of x after the right side\r\n" );
document.write( "is multiplied out and all like terms collected is 3.\r\n" );
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document.write( "\"Quartic\" means that the largest exponent of x after the right side\r\n" );
document.write( "is multiplied out and all like terms collected is 4.\r\n" );
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document.write( "\"Quintic\" means that the largest exponent of x after the right side\r\n" );
document.write( "is multiplied out and all like terms collected is 5.\r\n" );
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document.write( "But right now you're only studying the first two, \"linear\" and \"quadratic\"\r\n" );
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document.write( "\"y=3x-5\"\r\n" );
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document.write( "That doesn't need to be multiplied out or any terms collected.\r\n" );
document.write( "And the largest power of x is 1, so it's linear.\r\n" );
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document.write( "\"y=%283x-2%29%28x%2B6%29\"\r\n" );
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document.write( "That needs to be multiplied out and like terms collected:\r\n" );
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document.write( "\"y=%283x-2%29%28x%2B6%29\"\r\n" );
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document.write( "Use FOIL to multiply it out:\r\n" );
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document.write( "\"y=3x%5E2%2B18x-2x-12\" \r\n" );
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document.write( "Collect like terms:\r\n" );
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document.write( "\"y+=+3x%5E2%2B16x-12\"\r\n" );
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document.write( "The largest power of x is 2, so it's quadratic.\r\n" );
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document.write( "[Note: You probably could just have looked at it and seen\r\n" );
document.write( "that the largest power of x would end up being be 2 if you \r\n" );
document.write( "multiplied it out and collected like terms without actually\r\n" );
document.write( "bothering to to do so.]\r\n" );
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document.write( "Edwin
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