Show that x-2 is a factor of the polynomial f(x)=2x^3-3x^2-17x+30 and hence factorise it
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f (x)=x-2
0=x-2
x=2
f (x)= 2 (2)^3-3 (2)^2-17 (2)+30
= 2×8-3×4-34+30
= 16-12-34+30
=0
: x-2 is a factor
0=x-2
x=2
f (x)= 2 (2)^3-3 (2)^2-17 (2)+30
= 2×8-3×4-34+30
= 16-12-34+30
=0
: x-2 is a factor
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