#### Transcript of Mega Mansion project!

Know your Polynomials

How much larger is the perimeter of the Outdoor pool than the perimeter of the indoor pool?

2x^5 + 4x^4 - 2x^3 - 4x^2

Find the Volume of the Outdoor Pool

36x^10 - 24x^8 + 24x^6 - 16x^4

Find ther perimeter of the Mega Mansion. Remeber to simplify your answer by combining like terms.

20x^5+56x^4+22x^3+20x^2+60x+16

Know what Operations Polynomials are Closed Under:

1. Is it possible to add 2 polynomials together and your answer is not a polynomials?

No, when adding polynomials you always end up with another polynomial. The group of polynomials is closed under addition.

(5x^2 + 3x + 3) + (2x^3 + 4x^2 - 2x + 4) =

2x^3 + 9x^2 + 1x + 7

2. Is it possible to subtract on polynomial from another and you answer is not a polynomial?

No, when subtracting polynomials you always end up wih another polynomial, it is closed under subtraction.

(5x^2 + 3x + 2) - (-5x^2 - 3x - 1) =

(10x^2 + 6x + 3)

3. Is it possible to jmultiply 2 polynomials together and your answer is not a polynomial?

No, when multiplying polynomials you always end up with another polynomial. It is closed under multiplication.

(x^2 + 3x + 5) (2x^2 + 4x + 2) =

2x^4 + 10x^3 + 24x^2 + 26x + 10

4. Is it possible to divide on polynomial into another and you answer is not a polynomial?

Yes, when dividing polynomials you won't always end up with another plynomial.

7/2 = 3.5

**Mega Mansion project! **

Ashlyn McCain

1. Name the polynomial and label its parts:

5x^3 + 6x^2 - 4

5 = Leading coefficient

^3 = Degree

+6x^2 = Quadratic term

-4 = Constant term

Name: Cubic trinomial

2. Give an example of a quadratic binomial in standard form:

3x^2 + 2

3. How many constants can there be in a polynomial written in standard form?

One, because you have to add all like terms.

4. How many coefficients can there be in a polynomial written in standard form?

The power of the higherst variable. The minimum is 1.

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