Question

1. x⁹- x having____factors.
(a) 2
(b) 4
(d) None
(C) 5​

Answer 1

Step-by-step explanation:

$x( {x}^{8} - 1)$

$x( {x {}^{2} }^{4} - 1) = x( {x}^{4} - 1)( {x}^{4} + 1)$

$x( {x {}^{2} }^{2} - 1 { {}^{2} }^{2} )( {x}^{4} + 1)$

$x( {x}^{4} + 1)(x { }^{2} + 1)(x { }^{2} - 1)$

$x( {x}^{4} + 1)(x {}^{2} + 1)(x + 1)(x - 1)$

used identity of A²-B² =(A+B) (A-B)