Question

x³ - 2x² + 6x - 5

 

Answer 1

= x^3 - x^2 - x^2 + x + 5x - 5

= x^2(x-1) - x(x-1) + 5(x-1)

=(x^2 - x+ 5)(x-1)

Answer 2

\(x^3-2x^2+6x-5\)

\(=x^3-x^2+5x-x^2+x-5\) 

\(=x\left(x^2-x+5\right)-\left(x^2-x+5\right)\) 

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