F(x) = 9x3 − 3x2 + X − 5, G(x) = X − 2 3 - Mathematics

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Question

f(x) = 9x3 − 3x2 + x − 5, g(x) = \[x - \frac{2}{3}\]

Answer in Brief

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SolutionShow Solution

Let us denote the given polynomials as

`f(x) = 9x^2 - 3x^2 + x -5`

`g(x) = x2/3`

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(2/3) = 9(2/3)^2 - 3 (2/3)^2 + (2/3) - 5`

`= 9 xx 8 /27 - 3 xx 4/9 + 2/3 - 5`

` = 8/3 - 4/3 + 2/3 - 5`

`= -3`

Remainder by actual division

Remainder is −3

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 7Q 6Q 8Chapter 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 7 | Page 14

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