Question

check whether 2x + 1 is a factor of 4x^3 + 4x^2 -x-1 or not
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Answer 1

Answer:

2x + 1=0

2x = -1

x= -1/2

Then ,

putting the value of X

4x^3 + 4x^2 - x - 1

4 × (-1/2)^3 + 4 × (-1/2)^2 - (-1/2) - 1

4 × (-1/8) + 4 × 1/4 +1/2 -1

-1/2 + 1 - 1/2

1/2 -1/2 =0

So, 2x + 1 is factor of 4x^3 + 4x^2 - X - 1.

Yes 2x+1 is factor