Question

Solve by Factor Theorem-
x³-6x²+11x-6
NO RUBBISH ANSWERS PLEASE!​

Answer 1

Questions

Find the factor

x^3 - 6x^2 + 11x -6

Formula used

1. (a - b)^3 = a^3 - b^3 - 3a^2b + 3b^2a
2. a^2 - b^2= (a +b)(a - b)

Solutions

x^3 - 6x^2 +11x - 6

Arrange (add +12x ,2 and subtract -8 and -x) according to formula 1

x^3 - 6x^2 + 12x - 8 - X +2

By using formula 1

(X - 2)^3 -( X - 2)

(X - 2){(x - 2)^2 - 1)}

By using formula 2

( X - 2)(X - 2 + 1)(X - 2 -1)

(X -2)(X -1)(X -3)