Factor Theorem

Factor Theorem

  • Obtain the polynomial p(x).
  • Obtain the constant term in p(x) and find its all possible factors. For example, in the polynomial
    • x4 + x3 – 7x2 – x + 6 the constant term is 6 and its factors are ± 1, ± 2, ± 3, ± 6.
  • Take one of the factors, say a and replace x by it in the given polynomial. If the polynomial reduces to zero, then (x – a) is a factor of polynomial.
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