Question

Разложите на множители:1)x^3+6x^2+11x+6;2)x^4+x^3+6x^2+5x+5​

Answer 1

$x {}^{3} + 6x {}^{2} + 11x + 6 \ x {}^{3} + x{}^{2} + 5x {}^{2} + 5x + 6x + 6 \ x {}^{2} (x + 1) + 5x times (x + 1) + 6(x + 1) \ (x + 1) times (x {}^{2} + 5x + 6) \ (x + 1) times (x times (x + 3) + 2(x + 3)) \ (x + 1) times (x + 3) times (x + 2) \ \ 2) x {}^{4} + x {}^{3} + 6x {}^{2} + 5x + 5 \ x {}^{4} + x {}^{3} + x {}^{2} + 5x {}^{2} + 5x + 5 \ x {}^{2}(x {}^{2} + x + 1) + 5(x {}^{2} + x + 1) \ (x {}^{2} + x + 1) times (x {}^{2} + 5)$

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