Question

Check whether p(x)=2x^3-9x^2+x+12 is a multiple of 2x-3

Answer 1

Step-by-step explanation:

2x-3=0

x=3/2

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

= 27-81+6+48/4

=0/4

=0

therefore 2x-3 is the multiple of p(x)