document.write( "Question 1011718: If x^2 - 3x + 1 is divided by x + 2c, the remainder is -1. What is c? Thank you. \n" ); document.write( "
Algebra.Com's Answer #627508 by MathTherapy(10552)\"\" \"About 
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\n" ); document.write( "If x^2 - 3x + 1 is divided by x + 2c, the remainder is -1. What is c? Thank you.
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Since x + 2c is a factor, we can say that: x + 2c = 0 -------> x = - 2c
\n" ); document.write( "\"f%28x%29+=+x%5E2+-+3x+%2B+1\" --------------- Remainder Theorem
\n" ); document.write( "\"f%28-+2c%29+=+%28-+2c%29%5E2+-+3%28-+2c%29+%2B+1+\" --- Substituting - 2c for x in remainder theorem
\n" ); document.write( "\"-+1+=+4c%5E2+%2B+6c+%2B+1\" -------------- Substituting - 1 for f(- 2c), and simplifying equation
\n" ); document.write( "\"4c%5E2+%2B+6c+%2B+1+%2B+1+=+0\"
\n" ); document.write( "\"4c%5E2+%2B+6c+%2B+2+=+0+\"
\n" ); document.write( "(4c + 2)(c + 1) = 0
\n" ); document.write( "4c + 2 = 0 OR c + 1 = 0
\n" ); document.write( "4c = - 2 OR c = 0 – 1
\n" ); document.write( "c = \"%28-+2%29%2F4\", or \"highlight_green%28c+=+-+1%2F2%29\" OR \"highlight_green%28c+=+-+1%29\" \n" ); document.write( "
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