Question

CLASS 9TH
POLYNOMIALS

Question : Factorise the following -

1. 12x³+23x²-4x-15

( Please give full answer with procedure and Identies. Incorrect / Irrelevant questions will be reported )​

Answer 1

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$\huge\color{cyan}\boxed{\colorbox{black}{Solution:-}}$

Factor the

$4 {x}^{2} (3x + 1) - 3x - 1$

first two terms:

Notice that we can factor out the negative - from the last two terms:

$4 {x}^{2} (3x + 1) - (3x + 1)$

This means we can factor this by grouping. The factoring is already done, so we are left with:

$(3x -+ 1)( {4x}^{2} - 1)$

You can double-check this by expanding it again using the FOIL method:

12x³+23x²-4x-15

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