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anonymous
 one year ago
please help
A rectangle has sides measuring (6x + 4) units and (2x + 11) units.
Part A: What is the expression that represents the area of the rectangle? Show your work to receive full credit. (4 points)
Part B: What are the degree and classification of the expression obtained in Part A? (3 points)
Part C: How does Part A demonstrate the closure property for polynomials? (3 points)
anonymous
 one year ago
please help A rectangle has sides measuring (6x + 4) units and (2x + 11) units. Part A: What is the expression that represents the area of the rectangle? Show your work to receive full credit. (4 points) Part B: What are the degree and classification of the expression obtained in Part A? (3 points) Part C: How does Part A demonstrate the closure property for polynomials? (3 points)

This Question is Closed

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0wait do i add like terms or foil this?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0can you help with part b ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i was supposed to foil right?

Mertsj
 one year ago
Best ResponseYou've already chosen the best response.3yes. to multiply two binomials, use FOIL

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0the answer i got is 12x+66x+8x+44

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ok i understand can you explain part b please

Mertsj
 one year ago
Best ResponseYou've already chosen the best response.3The highest exponent is 2 so it is degree 2 There are three terms so it is a trinomial

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0thank you very much can you help with part c and explain it a little more i dont just want the answers

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.0I'll explain the closure property with these examples: 1. The closure property applies to the multiplication of integers because when any two integers are multiplied together, the product is an integer. For example 5 * 2 = 10. 5, 2, and 10 are all integers. 2. The closure property does not apply to the division of integers because not every division of integers results in an integer. Fro example, 5/2 = 2.5. 5 and 2 are integers, but 2.5 is not.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0this is difficult for me to relate to my problem

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0because i need the closure property of polynomials

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.0Well, if you multiply polynomials, is the result always a polynomial? If so, there is closure. If not, there isn't.

Mertsj
 one year ago
Best ResponseYou've already chosen the best response.3The closure property for multiplication says if you multiply two integers you get an integer so the set of integers is closed for multiplication.

Mertsj
 one year ago
Best ResponseYou've already chosen the best response.3The closure property for natural numbers says that if you multiply two natural numbers you get a natural number so the set of natural numbers is said to be closed for multiplication.

Mertsj
 one year ago
Best ResponseYou've already chosen the best response.3The closure property for rational numbers says that if you multiply two rational numbers you will get a rational number so the set of rational numbers is said to be closed for multiplication.

Mertsj
 one year ago
Best ResponseYou've already chosen the best response.3What do you suppose the closure property for polynomials would be?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.0I'll show you an example of an operation that is not closed. Let's look at division of polynomials. \(\dfrac{5x^2 + 2x  8}{x} = 5x + 2  \dfrac{8}{x}\) The quotient is not a polynomial, so polynomials are not closed for division.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0it would be if you multiply to polynomials you will get another polynomial so the set would be closed

Mertsj
 one year ago
Best ResponseYou've already chosen the best response.3Did that work in your example? is 6x+4 a polynomial?

Mertsj
 one year ago
Best ResponseYou've already chosen the best response.3When you multiplied them you got 12x^2+74x+44 Is that a polynomial?

Mertsj
 one year ago
Best ResponseYou've already chosen the best response.3Why aren't you answering my questions?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0no thats a trinomial

Mertsj
 one year ago
Best ResponseYou've already chosen the best response.3Is a trinomial a member of the family of polynomials?

Mertsj
 one year ago
Best ResponseYou've already chosen the best response.3monomials, binomials, trinomials, four term polynomials...they are all polynomials

Mertsj
 one year ago
Best ResponseYou've already chosen the best response.3Just like Chinese, Japanese, and Mexicans are all human beings.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yes i get it now so it demonstrates it when i multiply the terms and still get a polynomial?

Mertsj
 one year ago
Best ResponseYou've already chosen the best response.36x+4 is a binomial and therefore is a polynomial. 2x+11 is a binomial and therefore is a polynomial. 12x^2+74x+44 is a trinomial and therefore is a polynomial.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0thnk you so much i got my answer i really appreciate it

Mertsj
 one year ago
Best ResponseYou've already chosen the best response.3So you have shown, at least in this case, that the set of polynomials appears to be closed for multiplication because you multiplied two polynomials and got a polynomial.
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