document.write( "Question 698834: Can you please help me divide f(x)=3x^3-16x^2-103x+36 when (x+4)is a factor. I've done the synthetic division to get f(x)= (x+4)(3x^2-28x+9) but I'm stuck on how to factor (3x^2-28x+9). \n" ); document.write( "
Algebra.Com's Answer #431064 by Edwin McCravy(20059)\"\" \"About 
You can put this solution on YOUR website!
 f(x)= (x + 4)(3x² - 28x + 9)\r\n" );
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document.write( "You need to factor 3x² - 28x + 9\r\n" );
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document.write( "There is only one way to factor 3x², as 3x times x\r\n" );
document.write( "So write this:\r\n" );
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document.write( "    (3x    )(x    )\r\n" );
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document.write( "There are 3 ways to factor the 9, as 3*3,1*9 and 9*1\r\n" );
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document.write( "    (3x   3)(x   3)   \r\n" );
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document.write( "    (3x   1)(x   9)\r\n" );
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document.write( "    (3x   9)(x   1)\r\n" );
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document.write( "If you test those using FOIL, thinking that the two signs\r\n" );
document.write( "have to be negative, it doesn't take long to see that\r\n" );
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document.write( "    (3x - 1)(x - 9)    \r\n" );
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document.write( "is the way to factor it, so\r\n" );
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document.write( "  f(x)= (x + 4)(3x - 1)(x - 9)\r\n" );
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document.write( "Edwin
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