factorise x^3-4x62-11x+2
2 answers
check your typing, I suspect a typo.
x^3-4x62-11x+2
since ^ is shift-6, I suspect you meant:
x^3-4x^2-11x+2
cubics are not generally easy to solve, so look for easy integral roots first: ±1, ±2
A little synthetic division yields
(x+2)(x^2-6x+11)
Using the quadratic formula, you get
x = 3±2√2
so, the factorisation is
(x+2)(x-3-2√2)(x-3+2√2)
since ^ is shift-6, I suspect you meant:
x^3-4x^2-11x+2
cubics are not generally easy to solve, so look for easy integral roots first: ±1, ±2
A little synthetic division yields
(x+2)(x^2-6x+11)
Using the quadratic formula, you get
x = 3±2√2
so, the factorisation is
(x+2)(x-3-2√2)(x-3+2√2)
1 answer