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One Factor of X4 + X2 − 20 is X2 + 5. the Other Factor is - Mathematics

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Question

One factor of x4 + x2 − 20 is x2 + 5. The other factor is

Options

  •  x2 − 4

  •  x − 4

  • x2 − 5

  • x + 2

MCQ

Solution

It is given that `x^ + 5`is a factor of the polynomial

`f(x)^2 = x^4 + x^2 - 20 .`

Here, reminder is zero. Therefore,` x^2 - 4` is a factor of polynomial.

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Chapter 6: Factorisation of Polynomials - Exercise 6.7 [Page 35]

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RD Sharma Mathematics [English] Class 9
Chapter 6 Factorisation of Polynomials
Exercise 6.7 | Q 14 | Page 35
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