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Using the Remainder Theorem, Factorise Each of the Following Completely X3 + X2 – 4x – 4 - ICSE Class 10 - Mathematics

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Question

Using the Remainder Theorem, factorise each of the following completely 

 x3 + x2 – 4x – 4

Solution

`f(x)=x^3+x^2-4x-4` 

`for  x=1,` 

`f(x)=f(-1)=(-1)^3+(-1)^2-4(-1)-4` 

   `=-1+1+4-4=0` 

`"Hence, (x+1) is a factor of f (x)" `  

 

∴ `x^3+x^2-4x-4=(x+1)(x^2-4)` 

                           `= (x+1) (x+2) (x-2) `  

 

  Is there an error in this question or solution?
Solution Using the Remainder Theorem, Factorise Each of the Following Completely X3 + X2 – 4x – 4 Concept: Factorising a Polynomial Completely After Obtaining One Factor by Factor Theorem.
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