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What is the coefficient of x in (x3+x2+x+1)(x48x3+17x223x+14)?

 Jun 30, 2024
 #1
avatar+1950 
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To solve this problem, let's focus on the ways we can get x in the problem. 

First, we have x and 14. 

We get 14x from this. 

Next, we have 1 and 23x

Multiplying these two together, we get

23x

 

Adding these two together, we get 14x23x=9x

 

We could also expand everything out. Using the Distributive Property, we get

x77x6+10x513x4+8x29x+14

 

Thus, the coefficient is -9. 

 

So our answer is -9. 

 

Thanks! :)

 Jun 30, 2024

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