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If X − a is a Factor of X3 −3x2a + 2a2x + B, Then the Value of B is - Mathematics

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Question

If x − a is a factor of x3 −3x2a + 2a2x + b, then the value of b is

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MCQ

Solution

As (x-a)is a factor of  f(x) =x3 −3x2a + 2a2x + b

i.e.  f(a) = 0

`a^3 - 3a^3 + 2a^3 +b =0`
Thus,b = 0

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Chapter 6: Factorisation of Polynomials - Exercise 6.7 [Page 34]

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RD Sharma Mathematics [English] Class 9
Chapter 6 Factorisation of Polynomials
Exercise 6.7 | Q 3 | Page 34
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