Factorization Of Polynomials Using Factor TheoremObtain 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 … [Read more...] about Factorization Of Polynomials Using Factor Theorem
Factor Theorem
How Do You Use The Factor Theorem
Factor Theorem Theorem: If p(x) is a polynomial of degree n ≥ 1 and a is any real number, then (i) x – a is a factor of p(x), if p(a) = 0, and (ii) p(a) = 0, if x – a is a factor of p(x). Proof: By the Remainder Theorem, p(x) = (x – a) q(x) + p(a). (i) If p(a) = 0, then p(x) = (x – a) q(x), which shows that x – a is a factor of p(x). (ii) Since x – a is a factor of … [Read more...] about How Do You Use The Factor Theorem