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Polynomial and Its General Form

n3=3n2+2n=132...

Question

$n^{3} = 3 n^{2} + 2 n = 1320$ . Find the value of n.

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Solution

$n^{3} = 3 n^{2} + 2 n = 1320$

$n (n^{2} - 3 n + 2)$

$n (n - 1) (n - 2) = 1320$

$(10) (11) (12) = 1320$

$∴ n = 12$ $[∵ 12 \times (12 - 1) \times (12 - 2) 12 \times 11 \times 10 = 1320]$

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