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What is the coefficient of x^3 when 24x^4 + 6x^3 + 4x^2 + 7x - 5 is multiplied by 6x^3 + 3x^2 - 3x + 4 and the like terms are combined?

 Jun 29, 2021
 #1
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(24x^4  + 6x^3  + 4x^2  + 7x  - 5)     ( 6x^3  + 3x^2  - 3x   + 4)

 

The  x^3  terms will  come from the sum of  these  multiplications

 

(6x^3) (4)   +    (4x^2) (-3x)    +  (7x)(3x^2)  +  (-5)(6x^3)  =

 

[ 24    - 12  +  21  - 30  ]  x^3   =

 

        3x^3

 

cool cool cool

 Jun 30, 2021

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