document.write( "Question 1011717: If x^2 - 3x + 2k is divided by x+2, the remainder is 7. What is k? Thank you. \n" ); document.write( "
Algebra.Com's Answer #627515 by MathTherapy(10552)\"\" \"About 
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\n" ); document.write( "If x^2 - 3x + 2k is divided by x+2, the remainder is 7. What is k? Thank you.
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Since x + 2 is a factor, we can say that: x + 2 = 0 -------> x = - 2
\n" ); document.write( "\"f%28x%29+=+ax%5E2+%2B+bx+%2B+c\" ------------ Remainder Theorem
\n" ); document.write( "\"f%28-+2%29+=+%28-+2%29%5E2+-+3%28-+2%29+%2B+2k\" --- Substituting - 2 for x in remainder theorem
\n" ); document.write( "7 = 4 + 6 + 2k -------------- Substituting 7 for f(- 2), and simplifying equation
\n" ); document.write( "7 = 10 + 2k
\n" ); document.write( "7 - 10 = 2k
\n" ); document.write( "- 3 = 2k
\n" ); document.write( "\"highlight_green%28%28-+3%29%2F2%29+=+k\" OR \"highlight_green%28k+=+-+1.5%29\" \n" ); document.write( "
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