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Factor Theorem

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What is Factors Theorem? (Explain this by giving an example)

The following are the steps involved in finding the value of a when x - 2 is a factor of 3x^(2)-7x+a . Arrange them in sequential order. (A) 12-14+a=0rArra=2 (B) By factor theorem , f(2)=0rArr3(2)^(2)-7(2)+a=0 (C ) Let f(x)=3x^(2)-7x+a

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Factorization of quadratic polynomials of theorem ax^(2)+bx+ca!=1