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English0CBSEEnglish Medium Class 9Question PapersQuestion PapersTextbook Solutions14493MCQ Online Mock TestsImportant SolutionsConcept Notes & Videos352Time TablesSyllabusUse the Factor Theorem to determine whether g(x) is a factor of p(x) in the following case: p(x) = x3 − 4x2 + x + 6, g(x) = x − 3 - Mathematics
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Question

Use the Factor Theorem to determine whether g(x) is a factor of p(x) in the following case:

p(x) = x3 − 4x2 + x + 6, g(x) = x − 3

Sum
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SolutionShow Solution

If g(x) = x − 3 is a factor of the given polynomial p(x), then p(3) must be 0.

p(x) = x3 − 4x2 + x + 6

p(3) = (3)3 − 4(3)2 + 3 + 6

= 27 − 4(9) + 3 + 6

= 27 − 36 + 3 + 6

= 0

Hence, g(x) = x − 3 is a factor of the given polynomial.

shaalaa.comFactorisation of Polynomials Report Error Is there an error in this question or solution?Q 2.3Q 2.2Q 3.1Chapter 2: Polynomials - Exercise 2.4 [Page 44]

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NCERT Mathematics [English] Class 9Chapter 2 PolynomialsExercise 2.4 | Q 2.3 | Page 44

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