Mathematics, 16.09.2019 22:30, sara7946

Consider the list of operations below. choose the one that polynomials are not closed under. addition subtraction multiplication division

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answered: 22savage2017

Polynomials form a system similar to the system of integers, and are not closed under division only. Note that the form of division in algebra is usually symbolized by the number line sign (which is also used for fractions), while the rest belong to the function of polynomials.

answered: themaster66644

The correct answer is:

Division.

Explanation:

A monomial is a number, a variable, or the product of numbers and variables. Anything with a radical or a negative exponent is not considered a monomial.

A polynomial is the sum or difference of one or more monomials.

When we divide numbers, sometimes they don't divide evenly, leaving us with a remainder, which we can write as a fraction or a decimal.

When we divide polynomials, a similar statement is true. Sometimes they don't divide evenly, leaving us with a remainder, which we can write as a fraction.

However, when we write an algebraic expression with a variable as a fraction, this means the variable has a negative exponent. As stated above, monomials cannot have negative exponents; this means the remainder term would not be a monomial.

If part of the solution is not a monomial, the entire solution is not a polynomial.

This means we divide two polynomials and may end with a solution that is not a polynomial; this means polynomials are not closed under division.

answered: Guest

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.

answered: Guest

126.66 m²

step-by-step explanation:

the pertinent area formula is a = πr², where r is the radius.

here, a = π(6.35 m)² = 40.32π, or approximately 126.66 m²