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Find \(t\) if the expansion of the product of \(2x^3+x^2-3x+5\) and \(7x^2+tx-4\) has no \(x^2\) term.

 Mar 12, 2024
edited by ABJelly  Mar 12, 2024
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The x^2 term will come from

 

-4 * x^2   - (3t) x^2  +  (5*7)x^2   =

 

(-4 - 3t + 35) x^2  =

 

(31   - 3t)  x^2

 

If this has no x^2 term , then   31  - 3t = 0  →  31  = 3t →  t = 31 / 3

 

cool cool cool

 Mar 12, 2024

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