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4.(iv) Factorise :

  (iv)    3x^2 - x - 4

Answers (1)

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Given polynomial is   3x^2 - x - 4

We need to factorise the middle term into two terms such that their product is equal to 3 \times -4 =-12 and their sum is equal to -1

We can solve it as 

\Rightarrow 3x^2 - x - 4

\Rightarrow 3x^2 -4 x+3x - 4                                      (\because 3 \times -4 = -12 \ \ and \ \ 3+(-4) = -1)

\Rightarrow x(3x-4)+1(3x-4)

\Rightarrow (x+1)(3x-4)                             

Posted by

Gautam harsolia

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