Question

Разложите на множители. а)х³+6х²+11х+6 b)х⁴+х³+6х²+5х+5 отмечу нарушение если напишите калякулю​

Answer 1

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

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