Part a: create a fourth-degree polynomial with two terms in standard form. how do you know it is in standard form? (5 points) part b: explain the closure property as it relates to subtraction of polynomials. give an example. (5 points)

Find the directions in which the function increases and decreases most rapidly at upper p 0p0. then find the derivatives of the function in these directions. f(x, y)equals=x squared plus xy plus y squaredx2+xy+y2, upper p 0p0left parenthesis 1 comma negative 4 right parenthesis