document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=30545>Question 30545</A>: <I><SPAN STYLE=\"word-break: break-all;\"> (#15)<BR>\n" );
document.write( "Use synthetic division to find f(-4) if f(x) = x^4+20x^3+138x^2+396+405\r<BR>\n" );
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document.write( "(A) none of these<BR>\n" );
document.write( "(B) 6<BR>\n" );
document.write( "(C) 7<BR>\n" );
document.write( "(D) 5\r<BR>\n" );
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document.write( "Please choose a letter answer. </SPAN>\n" );
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document.write( "Use the synthetic division to find f(-4) if f(x) =x^4+20x^3+396+405. <BR>\n" );
document.write( "Possible Answers:<BR>\n" );
document.write( "(a) none of these<BR>\n" );
document.write( "(b) 6<BR>\n" );
document.write( "(c) 7<BR>\n" );
document.write( "(d) 5 \r<BR>\n" );
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document.write( "Use the synthetic division to find f(-4) if f(x) =x^4+20x^3+396+405. <BR>\n" );
document.write( "---- 1 20 138 396 405<BR>\n" );
document.write( "(-4)| -4 -64 -296 -400<BR>\n" );
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document.write( "-----1 16 74 100 5 \r<BR>\n" );
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document.write( "We observe that the remainder is 5 and therefore<BR>\n" );
document.write( "Answer: f(-4) = 5<BR>\n" );
document.write( "which is your choice (d) 5 \r<BR>\n" );
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document.write( "Note: Leave out the x's and write down the numbers (called coefficients) of the first polynomial on the first line. Then put (-4) (which comes from [x-(-4)] on the second line.<BR>\n" );
document.write( "Start by copying the first 1 onto the bottom line. Multiply by (-4) to get the (-4) and write in the second line underneath 20. Add the top 20 to this (-4) to get 16. Keep repeating this by multiplying each number on the bottom line by <BR>\n" );
document.write( "(-4), and add the result to the top line, with the result of the addition going on the bottom line.<BR>\n" );
document.write( "The last number is the remainder <BR>\n" );
document.write( "Note: How is f(-4) = 5 <BR>\n" );
document.write( "the remainder got on division of f(x) by [x-(-4)] ?<BR>\n" );
document.write( "Answer:: It is the Remainder theorm: If a polynomial f(x) <BR>\n" );
document.write( "of degree n >1 is divided by the linear function (x-r), <BR>\n" );
document.write( "the remainder is the number f(r)  </SPAN>\n" );
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