Use The Factor Theorem To Determine Whether G(x) Is A Factor Of P(x ...

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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 + 3x2 + 3x + 1, g(x) = x + 2 - 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 + 3x2 + 3x + 1, g(x) = x + 2

Sum
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SolutionShow Solution

If g(x) = x + 2 is a factor of the given polynomial p(x), then p(−2) must be 0.

p(x) = x3 + 3x2 + 3x + 1

p(−2) = (−2)3 + 3(−2)2 + 3(−2) + 1

= − 8 + 12 − 6 + 1

= −1

As p(−2) ≠ 0,

Hence, g(x) = x + 2 is not a factor of the given polynomial.

shaalaa.comFactorisation of Polynomials Report Error Is there an error in this question or solution?Q 2.2Q 2.1Q 2.3Chapter 2: Polynomials - Exercise 2.4 [Page 44]

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NCERT Mathematics [English] Class 9Chapter 2 PolynomialsExercise 2.4 | Q 2.2 | Page 44

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