Question

Please answer this question

Answer 1

Heya User,

--> p(x) is a fourth degree polynomial ri8 
--> p(1) = p(2) = p(3) = 0

=> ( x - 1 ), ( x - 2 ), ( x - 3 ) all are its factors =_=
{ BY FACTOR THEOREM }

=> p(x) = ( x - 1 )( x - 2 )( x - 3 )( x - a )

=> p( 0 ) = 6a ||

----> p(4) = ( 4 - 1 )( 4 - 2 )( 4 - 3 )( 4 - a )
==>  p(4) = 3 * 2 * 1 * ( 4 - a)
==>  p(4) = 24 - 6a
==> p(4) + 6a = 24
==> p(4) + p(0) = 24   ^_^ Done ....