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A rectangle has sides measuring (2x 7) units and (5x 9) units. Part A: What is the expression that represents the area of the rectangle? Show your work. (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).

Sagot :

If rectangle has sides measuring (2x +7) units and (5x +9) units then expression that represents the area of the rectangle is [tex]10x^2+53x+63[/tex] and degree of this expression is 2 and we proved that it satisfy closure property .

what is a rectangle?

A quadrilateral with four right angles is called rectangle .

Given that sides are (2x+7) and (5x+9)

Hence area of rectangle can be calculated as

[tex](2x+7)(5x+9)\\\\2x(5x+9)+7(5x+9)\\\\10x^2+18x+35x+63\\\\10x^2+53x+63\\[/tex]

Now we can see that this is a second degree polynomial

We got polynomial   [tex]10x^2+53x+63[/tex] by multiplying two polynomial (2x+7) and (5x+9) hence it's closure property .

If rectangle has sides measuring (2x +7) units and (5x +9) units then expression that represents the area of the rectangle is [tex]10x^2+53x+63[/tex] and degree of this expression is 2 and we proved that it satisfy closure property .

To learn more about rectangle visit :https://brainly.com/question/19819849

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