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for the polynomial a^2(b-c) + b^2(c-a) + c^2(a-b), prove that (a-b) is a factor of it, using factors theorem |
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Answer» Step-by-step explanation: let F(a)=a^2(b-c) + b^2(c-a) + c^2(a-b) PUTTING a=b MEAN we will write b in place of b f(b)=b^2(b-c)+b^2(c-b)+c^2(b-b) =b^2(b-c+c-b)+c^2*0 =b^2*0+0 =0 so f(b)=0 hence a-b is factor of f(a) or a-b is factor of the polynomial GIVEN |
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