Question

Verify rolles theoram for the function f(x) =x³-6x²+11x-6.

Answer 1

Answer:

$(x - 3)( {x}^{2} + 3x + 2)$

Step-by-step explanation:

${x}^{3} - 6 {x}^{2} + 11x - 6 \\ x = 3 \\ x - 3 \\ = {x}^{2} (x - 3) + 3x(x - 3) + 2(x - 3) \\ =( x - 3)( {x }^{2} + 3x + 2)$