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The factorisation of 4x2 + 8x + 3 is ______. - Mathematics

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Question

The factorisation of 4x2 + 8x + 3 is ______.

Options

  • (x + 1)(x + 3)

  • (2x + 1)(2x + 3)

  • (2x + 2)(2x + 5)

  • (2x –1)(2x –3)

MCQ
Fill in the Blanks

Solution

The factorisation of 4x2 + 8x + 3 is (2x + 1) (2x + 3).

Explanation:

Now, 4x2 + 8x + 3 = 4x2 + 6x + 2x + 3  ...[By splitting middle term]

= 2x(2x + 3) + 1(2x + 3)

= (2x + 3)(2x + 1)

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Factorisation of Polynomials
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Chapter 2: Polynomials - Exercise 2.1 [Page 15]

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NCERT Exemplar Mathematics [English] Class 9
Chapter 2 Polynomials
Exercise 2.1 | Q 16. | Page 15
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