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Mega Mansion project!
Transcript of Mega Mansion project!
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.
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!
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.