Factorise x^3 - 3x^2 - 9x - 5.
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x^3 - 3x^2 - 9x - 5--------------equation (1)
x^3 - 3x^2 - 9x - 5=0
Let the value of x be -1
then,
f(x)=x^3-3x^2-9x-5=0
f(-1)= -1-3+9-5=0
So, the value of x=-1
which is equal to (x+1)
Now using the remainder theorem divide eqn(1) with (x+1) (divide yourself)
On dividing the answer would be= x^2-4x-5
So, (x^2-4x-5)(x+1)
Now we will factorise (x^2-4x-5)
=x^2-4x-x-5
=x(x-4)+(x-5)
So, here I am concluding that your question is incorrect.
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