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What is the coefficient of x^2 when -5x^3 - 5x^2 - 7x + 1 is multiplied by -x^2 - 6x + 1 + 3x^2 + 4x - 3 and the like terms are combined?

 Jun 15, 2022
 #1
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-x^2  -6x + 1 + 3x^2 + 4x  - 3  simplifies to

 

2x^2  - 2x - 2

 

The coefficient on the x^2  term will  come  from the multiplication of these terms

 

-5x^2  *  - 2  =    10x^2

-7x *  -2x    =     14x^2

1 * 2x^2     =        2x^2

                          _____

                          26 x^2

 

 

cool cool cool

 Jun 15, 2022

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