document.write( "Question 1170400: find the values of A, B and C if (x-1), (x+2), and (x-2) are factors of
\n" ); document.write( "2Ax^3-Bx^2-Cx-16
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Algebra.Com's Answer #795288 by greenestamps(13203)\"\" \"About 
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\n" ); document.write( "\"2Ax%5E3-Bx%5E2-Cx-16+=+k%28x-1%29%28x%2B2%29%28x-2%29+=+k%28x%5E3-x%5E2-4x%2B4%29\"

\n" ); document.write( "The constant term is 4k = -16, so k = -4. Then

\n" ); document.write( "\"2Ax%5E3-Bx%5E2-Cx-16+=+-4x%5E3%2B4x%5E2%2B16x-16\"

\n" ); document.write( "Equating coefficients of each terms gives

\n" ); document.write( "2A = -4, so A = -2
\n" ); document.write( "-B = 4, so B = -4
\n" ); document.write( "-C = 16, so C = -16

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