x intercepts are (-1,0) and (-11,0)
This can be shortened to "x intercepts are -1 and -11" since in every case, the y value is always 0 for any x intercept. There's no need to state the y coordinate since it's always 0.
We find this by solving (x+1)(x+11) = 0 for x using the zero product property
(x+1)(x+11) = 0
x+1 = 0 or x+11 = 0
x = -1 or x = -11
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The y intercept is (0,11).
This is the result of computing y = (0)^2+12(0)+11. Due to how easy it is to work with 0, we basically just erase the (0)^2+12(0) portion and we're left with 11 as our y intercept. This means you can erase the x^2+12x portion of the original equation to get the same result.