Question

( 2x^3 - 5x^2 - x +1 ) : (2x + 1 )

Answer 1

\(\left(2x^3-5x^2-x+1\right):\left(2x+1\right)\)

\(=\left[x^2\left(2x+1\right)-3x\left(2x+1\right)+\left(2x+1\right)\right]:\left(2x+1\right)\)

\(=\left[\left(2x+1\right)\left(x^2-3x+1\right)\right]:\left(2x+1\right)=x^2-3x+1\)

Answer 2

5x^2 + x

Answer 3

\(\dfrac{2x^3-5x^2-x+1}{2x+1}\)

\(=\dfrac{2x^3+x^2-6x^2-3x+2x+1}{2x+1}\)

\(=x^2-3x+1\)

Answer 4

_{^{\(\dfrac{2x^3+}{ }\)}}