show that (x-5) is a factor of x^3 -3x^2 -13x +15
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x-5=0
x =5
x^3-3x^2-13x+15
5^3-3×5^2-13×5+15
125-3×25-65+15
125-75-65+15
50-65+15
-15+15
0
hence remainder is 0 means x-5 is a factor of polynomial
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