The expression does not have rational factors.
The expression x2 + 1x - 12 can be factored out as (x - 3)(x + 4)
It is a quadratic expression
x2 - 9x + 20 = (x - 4)( x - 5)
x³ - x² + x - 3 (x² + 1)(x - 1) - 2
2m^2 - 8 -First you should factor out a two. --> 2(m^2-4) -You now have something squared minus something else squared; You have m squared minus 2 squared. Whenever you have something squared minus something squared as you do in this case, there is a simple rule to remember: You can reduce that expression into the quantity of the square root of the first number or variable plus the square root of the second number or variable Times the quantity of the square root of the first number or variable minus the second number or variable squared. --> In the case of your expression: ----> 2(m+2)(m-2)<-----
This expression factors as x -1 quantity squared.
The discriminant of this quadratic expression is less than zero therefore it cannot be factored.
x squared minus 12 x plus 36 = (x - 6)(x - 6)
There is no rational factorisation.
There are no rational factors.
You don't! There are no common factors.