document.write( "Question 1001275: Suppose that a cubic function f(x)=ax^3+bx^2+cx+d can be factored into two terms, one of which is (x-n). Find the other term using synthetic division.
\n" ); document.write( "What must be true about an^3+bn^2+cn+d?
\n" ); document.write( "What does this tell us about the value of f(n)? \n" ); document.write( "

Algebra.Com's Answer #618521 by solver91311(24713) $\"\"$ $\"About$

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document.write( "n   a   b     c         d\r\n" );
document.write( "        an    an²+bn    an³+bn²+cn\r\n" );
document.write( "    --------------------------------\r\n" );
document.write( "    a   an+b  an²+bn+c  an³+bn²+cn+d\r\n" );
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\n" ); document.write( "\n" ); document.write( "Hence the other factor is

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\n" ); document.write( "\n" ); document.write( "Since

is a factor, the remainder after synthetic division,

, must equal zero, and

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\n" ); document.write( "\n" ); document.write( "John
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\n" ); document.write( "My calculator said it, I believe it, that settles it\r
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