Part A: Create a third-degree polynomial in standard form. How do you know it is in standard form? (5 points) Part B: Explain the closure property as it relates to polynomials. Give an example. (5 points)

look down

Step-by-step explanation:

Part A

5x 3y^3 2z

I know it is in standard form because there are no more like terms.

Part B: The closure property with regards to polynomials states that polynomials are always closed under multiplication. The coefficients and the exponents can change unlike in addition and subtraction. The variables and coefficients also automatically fit in a polynomial.

Example of multiplication under polynomials.

A*1 = A

A = 6,

6*1=6

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3

42

step-by-step explanation: