In Each Of The Following, Using The Remainder Theorem, Find The ...

English0CBSEEnglish Medium Class 9Question PapersQuestion PapersTextbook Solutions14493MCQ Online Mock TestsImportant SolutionsConcept Notes & Videos352Time TablesSyllabusIn Each of the Following, Using the Remainder Theorem, Find the Remainder When F(X) is Divided by G(X) and Verify the Result by Actual Division: (1−8) - Mathematics

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Question

In each of the following, using the remainder theorem, find the remainder when f(x) is divided by g(x) and verify the result by actual division: (1−8)

f(x) = x3 + 4x2 − 3x + 10, g(x) = x + 4

Answer in Brief

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SolutionShow Solution

Let us denote the given polynomials as

`f(x) = x^3 + 4x^2 - 3x + 10,`

`g(x) = x+ 4`

`⇒ g (x) = x - (-4)`

We have to find the remainder when f(x)is divided by g (x).

By the remainder theorem, when f (x)is divided by g(x)the remainder is

`f(-4) = (-4)^3 +4(-4)^2 - 3(-4) + 10`

` = -64 + 64 + 12 + 10`

`= 22`

Now we will show by actual division

So the remainder by actual division is 22

shaalaa.comFactorising the Quadratic Polynomial (Trinomial) of the type ax2 + bx + c, a ≠ 0. Report Error Is there an error in this question or solution?Q 1Q 7Q 2Chapter 6: Factorisation of Polynomials - Exercise 6.3 [Page 14]

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RD Sharma Mathematics [English] Class 9Chapter 6 Factorisation of PolynomialsExercise 6.3 | Q 1 | Page 14

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