Prove that (x-2)is factor of p (x)=2x³-3x²-17x+30

P(2)=0 then x-2 is a factor of P(x)

Step-by-step explanation:

To see if (x-2) is a factor just plug in 2 for x into the polynomial expression.

2(2)^3-3(2)^2-17(2)+30

2(8)-3(4)-34+30

16-12-34+30

4-34+30

-30+30

0

Since P(2)=0 then x-2 is a factor