Question

Foctorise the following-
x
$x^ {3} + {x}^{4} + x ^{5} + {x}^{6}$
​explain also

Answer 1

Hello mate,

Here is your answer,

Question:

• To Factorise => ${x}^{3} + {x}^{4} + {x}^{5} + {x}^{6}$

Solution:

Take ${x}^{3}$ Common we get,

${x}^{3} (1 + x + {x}^{2} + {x}^{3}) = 0 \\ \\ now \\ \\ {x}^{3} = 0 \\ \\ x = 0 \\ \\ this \: \: is \: \: one \: \: solution$

$1 + x + {x}^{2} + {x}^{3} = 0 \\ \\ = 1 + x(1 + x + {x}^{2} ) = 0 \\ \\ 1 + x = 0 \\ \\ x = - 1 \\ \\ this \: \: is \: \: another \: \: solution$

The solutions of this equation are:

• x = 0

• x = - 1

Hope it helps:)