Your turn,
show me what you got so far
(-10x - x) / (x^2 +12x+20)
show me what you got so far
=-(x+10)/x*(x+10) + 2*(x+10)
=-(x+10)/(x+10)(x+2)
the two (x+10) get cancelled and then the top will be -1 and the bottom is (x+2): -1/(x+2). now how do i get the restriction
The numerator (-10x - x) can be simplified to -11x.
The denominator (x^2 + 12x + 20) can be factored as (x + 2)(x + 10).
Therefore, the simplified rational expression is -11x / (x + 2)(x + 10).
To find the restrictions, we need to identify the values of x that would make the denominator equal to zero, as division by zero is undefined.
Setting the denominator (x + 2)(x + 10) equal to zero and solving for x:
(x + 2)(x + 10) = 0
x + 2 = 0 or x + 10 = 0
x = -2 or x = -10
Therefore, the restrictions for the rational expression are x ≠ -2 and x ≠ -10.