Question

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

Answer 1

X-2=0
X=+2

P(2)=2(2)^3-3(2)^2-17(2)+30
=2(8)-3(4)-17(2)+30
=16-12-34+30
=46-46
=0
THEREFORE x-2 is a factor of p(x) = 2x³-3x²-17x+30.

Answer 2

2 x 2^3 - 3x 2^2-17x 2+30
16-12-34+30
-30+30
=0