Question

factorize xcube +13x square +31x-45 if it is given that x+9 is its factor

Answer 1

$x ^{3} +13 x {}^{2} + 31x - 45 \\ x + 9 \: is \: its \: factor \: \\ \\ x + 9 = 0 \\ x = 9 \\ \\ p(9) \: = \: 9 {}^{3} + 13(9)^{2} + 31(9) - 45 \\ = > 729 + 1053 + 279 - 45 \\ = > 2016$

I Hope It Helps U h