document.write( "Question 1183353: A polynomial function f(x) with real coefficients has the given degree, zeros, and solution point.\r
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\n" ); document.write( "f(−1) = −172\r
\n" ); document.write( "\n" ); document.write( "(a) Write the function in completely factored form.
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\n" ); document.write( "\n" ); document.write( "(b) Write the function in polynomial form.
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Algebra.Com's Answer #813625 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Instead of doing yours for you, I'll do one step-by-step exactly like yours.\r\n" );
document.write( "You can use it as a model to solve yours by.

\n" ); document.write( "A polynomial function f(x) with real coefficients has the given degree, zeros, and solution point.
\n" ); document.write( "Degree 3
\n" ); document.write( "Zeros -4,4+(4square root5)i
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\n" ); document.write( "f(−2) = −696\r
\n" ); document.write( "\n" ); document.write( "(a) Write the function in completely factored form.
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document.write( "Solution step-by-step:\r\n" );
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document.write( "[That will be the completely factored form, once we find k and substitute\r\n" );
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document.write( "The last two factors are conjugates, so we form their product which\r\n" );
document.write( "is the difference of the squares of the terms:\r\n" );
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document.write( "\"%22f%28x%29%22=k%28x%2B4%5E%22%22%29%28%28x-4%29%5E2-%284sqrt%285%29%2Ai%29%5E2%29\"\r\n" );
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document.write( "\"%22f%28x%29%22=k%28x%2B4%5E%22%22%29%28%28x%5E2-8x%2B16%29-16%2A5%2Ai%5E2%29\"\r\n" );
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document.write( "\"%22f%28x%29%22=k%28x%2B4%5E%22%22%29%28x%5E2-8x%2B16-80%2A%28-1%29%29\"\r\n" );
document.write( "\r\n" );
document.write( "\"%22f%28x%29%22=k%28x%2B4%5E%22%22%29%28x%5E2-8x%2B16%2B80%29\"\r\n" );
document.write( "\r\n" );
document.write( "\"%22f%28x%29%22=k%28x%2B4%5E%22%22%29%28x%5E2-8x%2B96%29\"\r\n" );
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document.write( "\"%22f%28x%29%22=k%28x%5E3-8x%5E2%2B4x%5E2-32x%2B96x%2B384%29\"\r\n" );
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document.write( "\"%22f%28x%29%22=k%28x%5E3-4x%5E2%2B64x%2B384%29\"\r\n" );
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document.write( "\"%22f%28x%29%22=k%28x%5E3-4x%5E2%2B64x%2B384%29\"\r\n" );
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document.write( "\"%22f%28-2%29%22=k%28%28-2%29%5E3-4%28-2%29%5E2%2B64%28-2%29%2B384%29\"\r\n" );
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document.write( "\"-696=k%28%28-8%29-4%284%29-128%2B384%29\"\r\n" );
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document.write( "\"-696=k%28-8-16-128%2B384%29\"\r\n" );
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document.write( "\"-696=k%28232%29\"\r\n" );
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document.write( "\"%28-696%29%2F%28232%29=k\"\r\n" );
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document.write( "\"-3=k\"\r\n" );
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document.write( "\"%22f%28x%29%22=k%28x%5E3-4x%5E2%2B64x%2B384%29\"\r\n" );
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document.write( "\"%22f%28x%29%22=-3%28x%5E3-4x%5E2%2B64x%2B384%29\"\r\n" );
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document.write( "\"%22f%28x%29%22=-3x%5E3%2B12x%5E2-192x-1152%29\"\r\n" );
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document.write( "Completely factored form:\r\n" );
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document.write( "Edwin
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