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Find t if the expansion of the product of 2x^3 + x^2 - 3x + 5 and x^4 - 7x^3 + tx^2 - 11x + 15 has no x^2 term.

 Feb 15, 2024
 #1
avatar+128732 
+1

The  x^2  terms will  consist of

 

15x^2

(-3x)(-11x) = 33x^2

5tx^2

 

So

 

33 + 15 + 5t  =   0

 

48 + 5t  =  0

 

5t = - 48

 

t =  -48/5

 

cool cool cool

 Feb 15, 2024

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