Question

Show that (x+3) is a factor of 69+11x-x^2+x^3

Answer 1

Hi ,

Let p( x ) = x³ - x² + 11x + 69

*****************************

By Factor theorem :

If p( a ) = 0 then ( x - a ) is a factor of

p( x ).

********************************

p( -3 ) = ( - 3 )³ - ( -3 )² + 11( -3 ) + 69

= -27 - 9 - 33 + 69

= -69 + 69

= 0

p ( -3 ) = 0

Therefore ,

( x - 3 ) is a factor of p( x ).


I hope this helps you.

: )

Answer 2

Hi,

Please see the attached file!


Thanks