You already have the equation! If you want it in vertex form, do this:
y = x^2 + 8x + 16 - 16 - 51, or y = x^2 + 8x + 16 -67, or
y = (x+4)^2 - 67.
The vertex is at (-4,67).
Answer:
y = -1x +6
Step-by-step explanation:
You can do this using synthetic division, which is the easiest way. If x - 2 = 0, then x = 2. That 2 will go outside the "box" and the leading coefficients of the terms in the polynomial will go inside the "box". 2 (1 -3 -10 24). Bring down the first number, the
1. Multiply that 1 by the 2 to get 2. Put that 2 up under the -3 and add to get
-1. Multiply that -1 by the 2 to get -2. Put that =-2 up under the -10 and add to get
-12. Multiply that -12 by the 2 to get -24. Put the -24 up under the 24 and add to get 0. That means that x - 2 is a factor of the polynomial. What's left, the bolded numbers, are the coefficients of a new polynomial that is one degree less than the polynomial you started with. In other words, when we divide your polynomial by x-2, you get

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1. Intersection
2. complement
3. Union
4. finite set
5. disjoint sets
6. proper subset
7. subset