How much is 3x2 – 5x + 7 less than x3 – 5x2 + 7x - 3?
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Let S=1+3x+5x2+7x3
Multiplying both sides by a, we get
Sx=0+x+3x2+5x3
Subtract both eqns, we get
S(1−x)=1+2(x+x2+x3
Clearly, the series in the bracket is a gb with common ratio =x
S(1−x)=1+1−x2x=1−x1+x
⇒S=(1−x)21+x
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