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What is the coefficient of x^2 in (x^3 + x^2 + x + 1)(x^4 + 3x^3 + 8x + 7x + 1)?

 Jun 23, 2024

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 #1
avatar+85 
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pweezzzz use latex next time cuz my eyess hurrttt...

and also are u sure the \(x^4+3x^3+\boxed{8x}+7x+1\) 8x shouldn't be an \(8x^2\)?

well im gonna solve for whats given and what i think it should be

so \((x^3+x^2+x+1)(x^4+3x^3+15x+1)\) when exanded we only want the x^2 terms so we need to find the cofficents of \(x^2\) * a constant, and x*x.

we will have a coefficent of 1 from the \(x^2*1\), and a coofficent of 15 from the 15x*x. so in total \(\boxed{16}\). at lease i think so :P ¯\_(ツ)_/¯

 Jun 23, 2024
 #1
avatar+85 
+1
Best Answer

pweezzzz use latex next time cuz my eyess hurrttt...

and also are u sure the \(x^4+3x^3+\boxed{8x}+7x+1\) 8x shouldn't be an \(8x^2\)?

well im gonna solve for whats given and what i think it should be

so \((x^3+x^2+x+1)(x^4+3x^3+15x+1)\) when exanded we only want the x^2 terms so we need to find the cofficents of \(x^2\) * a constant, and x*x.

we will have a coefficent of 1 from the \(x^2*1\), and a coofficent of 15 from the 15x*x. so in total \(\boxed{16}\). at lease i think so :P ¯\_(ツ)_/¯

shmewy Jun 23, 2024

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