Snazzyjazzy1908 Snazzyjazzy1908
  • 21-10-2019
  • Mathematics
contestada

Show that x⁵²-21x+20 is divisible by x− 1.

Respuesta :

wagonbelleville wagonbelleville
  • 23-10-2019

Answer

given equation,

x⁵²-21 x+20

A number to be divisible by the another number means that on dividing the remainder should be zero.

if x⁵²-21 x+20 is divisible by x− 1 means that x-1 should completely divide the equation.

 so,

      x -1 = 0

       x = 1

x⁵²-21 x+20 to be divisible it should be equal to zero when x = 1

putting x = 1

= (1)⁵²-21 (1)+20

= 1 - 21 + 20

= 21 -21

= 0

hence x = 1 is the root of the equation

so, x⁵²-21 x+20 is divisible by x− 1.

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