Question

Without actual division prove that (x +1) and (2x -3) are factors of 2x^3-9x^2+x+12

Answer 1

Answer:

let try

Step-by-step explanation:

here x=-1 and x=3/2

2(-1)^3-9(-1)^2+(-1)+12

2(-1)-9-1+12=-2-9-1+12=-12+12=0

and

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

-54/4+3/2+12

-54+6+48/4=0

because the values of x satisfies the equation