F(X) = 4x3 − 12x2 + 14x − 3, G(X) 2x − 1
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Question
f(x) = 4x3 − 12x2 + 14x − 3, g(x) 2x − 1
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SolutionShow Solution
Let us denote the given polynomials as
`f(x) = 4x^2 - 12x^3 - 12x^2 + 14x - 3,`
`g(x) = 2x - 1`
`⇒ g (x) = 2 (x - 1/2)`
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(1/2) = 4(1/2)^3 - 12(1/2)^2 + 14 (1/2) - 3`
` = 4 xx 1/8 - 12 xx 1/4 + 14 xx 1/2 - 3`
` = 1/2 -3 + 7 - 3`
`= 3/2`
Now we will calculate the remainder by actual division
So the remainder by actual division is `3/2` .
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 4Q 3Q 5Chapter 6: Factorisation of Polynomials - Exercise 6.3 [Page 14]APPEARS IN
RD Sharma Mathematics [English] Class 9Chapter 6 Factorisation of PolynomialsExercise 6.3 | Q 4 | Page 14Video TutorialsVIEW ALL [1]
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