CLASS 9TH
POLYNOMIALS

Question : Factorise the following –

1. 12x³+23x²-4x-15

( Please gi

1 thought on “CLASS 9TH <br />POLYNOMIALS<br /><br />Question : Factorise the following – <br /><br />1. 12x³+23x²-4x-15 <br /><br />( Please gi”

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   [tex]\huge\color{cyan}\boxed{\colorbox{black}{Solution:-}}[/tex]

   Factor the

   [tex]4 {x}^{2} (3x + 1) – 3x – 1[/tex]

   first two terms:

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

   [tex]4 {x}^{2} (3x + 1) – (3x + 1)[/tex]

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

   [tex](3x -+ 1)( {4x}^{2} – 1)[/tex]

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

   12x³+23x²-4x-15

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