Question

show that x+1 and 2x-3 are factor of 2x^3-9x^2+x+12

Answer 1

when we substitute x=-1 then we get 2(-1)-9-1+12=0 similarly we can substitute x=(3/2) so we get 2(27/8)-9(9/4)+3/2+12 hence 27/4-81/4+3/2+12 =0 therefore we can show this

Answer 2

Answer:

yes 0 is coming step below

Step-by-step explanation:

p(-1)

==> 2.-13-9.-12+(-1)+12

==>-2-9-1+12

==>-12+12=0 hence verified

p(3/2)

==>2.(3/2)3-9.(3/2)2+3/2+12

==>2.27/8-9.9/4+3/2+12

==>27/4-81/4+3/2+12

==>54/8-162/8+12/96/8

==>-108/8+108/8

==>0/8=0 hence verified