document.write( "Question 1209338: Find t if the expansion of the product of 3x^3 + 5x^2 - x and 2x^2 + tx has no x^2 term. \n" ); document.write( "

Algebra.Com's Answer #848507 by ikleyn(52847) $\"\"$ $\"About$

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\n" ); document.write( "Find t if the expansion of the product of 3x^3 + 5x^2 - x and 2x^2 + tx has no x^2 term.
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document.write( "x^2-term of the product of polynomials  3x^3 + 5x^2 - x  and  2x^2 + tx  is the product of the terms\r\n" );
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document.write( "(-x) and tx.  This product is -tx^2.\r\n" );
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document.write( "The words \"the expansion of the product . . . has no x^2 term\" mean the the coefficient at x^ is zero.\r\n" );
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document.write( "So, from the problem,  t = 0.\r\n" );
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document.write( "ANSWER.  t = 0.\r\n" );
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