Question

Factorize:x3 – 3x2 + 3x - 1​

Answer 1

Answer:

Eventually, you'll discover that x=1 is a root. This will imply that your polynomial has the form

(x−1)(ax2+bx+c),(1)

for some constants a,b,c.

To find those constants, you could do one of two things (and maybe more)

perform the division x3−3x2+3x+1x−1.

expand (1) and set it equal to the original polynomial. Setting the coefficients of the two sides of this equation equal to each other will give you a system of equations that are solvable for a, b, and c.

Once you've figured out what a,b, and c are, factor the quadratic.