Question

Determine m,n e P,de modo que:(mx²+nx+p).(x+1)=2x³+3x²-2X-3

Answer 1

(mx²+nx+p)(x+1) = 2x³+3x³-2x-3

mx³+mx²+nx²+nx+px+p = 2x³+3x²-2x-3

mx³+(m+n)x²+(n+p)x+p = 2x³+3x²-2x-3

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Igualando os coeficientes:

m=2 
m+n=3
n+p=-2
p=-3
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Resolvendo m+n : 
m+n=3
2+n=3
n=3-2
n=1

Portanto: m=2 , n=1 , p =-3

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