Answer: The answer is a polynomial in two variables with degree 3.
Step-by-step explanation: We are given to write the properties of the polynomial
We can see that the polynomial 'p' contains two unknown variables 'x' and 'y'.
Also, the degree of the polynomial is the degree of the expression
Therefore, the degree of the polynomial will be 2 + 1 = 3.
Thus,
(i) the polynomial has two unknown variables 'x' and 'y', and
(ii) Its degree is 3.
Equation :
This parabola is facing downwards and highest point of the parabola is it's vertex.
Highest point is (-2,2)
so the vertex is (-2,2)
The graph is passing through (-1,0)
Equation in vertex form is
Substitute back in Equation
the graph has two x intercepts -1 and -3
that means (x+1) and (x+3) are the factors
multiply factors to get the equation in standard form
-2x^2-8x-6=0