Question

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

Answer 1

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

Answer 2

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

\(=\left(x-1\right)\left(x^2+x+1\right)+2x\left(x-1\right)\)

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

Answer 3

x³+2x²-2x-1=(x³-1)+(2x²-2x)=(x-1)(x²+x+1)+2x(x-1)=(x-1)[(x²+x+1)+2x]=(x-1)(x²+x+1+2x)=(x-1)(x²+3x+1)