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Question Number 137252 by mey3nipaba last updated on 31/Mar/21
DecomposethefunctionP(x)=x4+2x3+6x2+20x+6x3+x2+xinpartialfractions.
Answered by bemath last updated on 31/Mar/21
⇔x+1+4x2+19x+6x(x2+x+1)=⇔x+1+Ax+Bx+Cx2+x+1⇔4x2+19x+6=A(x2+x+1)+(Bx+C)x⇔A=[4x2+19x+6x2+x+1]x=0=6putx=1⇒29=18+B+C⇒B+C=11putx=−1⇒−9=6−(−B+C)⇒−15=B−Cweget{B=−2C=13⇔x+1+6x+13−2xx2+x+1
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