SOLUTION: 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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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.
Answer by ikleyn(52832) About Me  (Show Source):
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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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x^2-term of the product of polynomials  3x^3 + 5x^2 - x  and  2x^2 + tx  is the product of the terms

(-x) and tx.  This product is -tx^2.


The words "the expansion of the product . . . has no x^2 term" mean the the coefficient at x^ is zero.


So, from the problem,  t = 0.


ANSWER.  t = 0.

Solved.