factorise 12x^3+4x^2-3x-1 using factor theorem
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Answer:
12x^3+4x^2-3x-1
=12x^3-3x+4x^2-1
=3x(4x^2-1)+4x^2-1
=(4x^2-1)(3+1)
=(2x+1)(2x-1)4
=4(2x+1)(2x-1)
Given polynomial is
Let assume that
So, Let first find the zero of f(x) by using hit and trial method.
Let assume that
So,
Hence, By factor theorem,
Now, using Long Division, we have
Hence,
Hence,