Question

FOR MEDAL AND FAN!!!

To fit the dimensions of the various land spaces, Bernard realizes that the length of the pool has to be three times the size of the width plus 3, and the depth has to be 7 less than twice the length.

Determine the polynomial expression to represent the area of land space that the pool will cover.
Using the area and the depth expressions, determine the polynomial expression that is used to represent the volume.
Classify the volume polynomial by degree and number of terms.

Answer 1

@aaronq

Answer 2

To fit the dimensions of the various land spaces, he realizes that the length of the pool has to be three times the size of the width plus 3 and the depth has to be 7 less than twice the length.
Task 1

Create expressions to represent the dimensions of the pool.

Create a variable to represent the width of the pool. Determine the expressions to represent length and the depth in terms of the width variable.
Determine the polynomial expression to represent the area of land space that the pool will cover.
Using the area and the depth expressions, determine the polynomial expression that is used to represent the volume.
Classify the volume polynomial by degree and number of terms.

I'd suggest you pick several literals (variables) to represent the pool dimensions. Why not L, W and D for length, width and depth respectively?

If the length of the pool is to be three times the width, plus 3 feet, how would you represent that in terms of W? L = ??

Once you have an expression for the length, L, how would you write an expression for D, the depth, first, in terms of L, and then in terms of W?

Answer 3

hope that helps

Answer 4

good luck on that one

Answer 5

I already got all the expressions and variables. I dont know the "Determine the polynomial expression to represent the area of land space that the pool will cover." part.

Answer 6

a polynomial is a power series, you write it down as a general term after a summation symbol.

Answer 7

Can you give me an example?

Answer 8

Polynomials are sums of "variables and exponents" expressions. There are no square roots of variables, no fractional powers, and no variables in the denominator of any fractions. An example would be 3x^2+6x-8. You write them from highest exponent to lowest.

Answer 9

You can rewrite it as I said behind a summation symbol, but then you have to find a general expression for them. I don't think you're supposed to do that here.