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Factor Theorem

Factorization Of Polynomials Using Factor Theorem

December 22, 2020 by Veerendra

Factorization Of Polynomials Using Factor Theorem 1

Factorization Of Polynomials Using Factor Theorem Factor 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 … [Read more...] about Factorization Of Polynomials Using Factor Theorem

How Do You Use The Factor Theorem

September 8, 2016 by Veerendra

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

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