Question

a rectangle has sides measuring(2x+7) units and (5x+9) units.

Answer 1

CREATE A FIFTH DEGREE POLYNOMIAL IN STANDARD FORM. HOW DO YOU KNOW IT IS IN STANDARD FORM

Answer 2

this is the standard form
highest (degree) -> lowest -> constant

Answer 3

in order to put this in standard form, you need to apply the FOIL method

Answer 4

FOIL- first outside inside last
make sure to distribute

Answer 5

It seems you have two different questions posted. The first one is incomplete. Can you add more detail please?

Answer 6

(since the user left already)

For the first one use FOIL \((a+b)(c+d) = a(c) + a(d) + b(c) + b(d)\)
\((2x+7)(5x+9) \\2x(5x) + 2x(9) + 7(5x) + 7(9)\\ 10x^2 + 18x + 35x +63 \\ ​10x^2 + 53x + 63 \)

For the second, an example would be \(2x^5 + 3x + 7\)

Answer 7

Here's another approach:

\(
(2x+7)(5x+9)\\\\
y(5x+9) \ \text{ ... see note 1}\\\\
y(5x)+y(9)\\\\
5xy+9y\\\\
5x(y)+9(y)\\\
5x(2x+7)+9(2x+7) \ \text{ ... see note 2}\\\\
5x(2x)+5x(7)+9(2x)+9(7)\\\\
10x^2+35x+18x+63\\\\
10x^2+53x+63\\\\
\)

note1: I replaced (2x+7) with y. Then I used the distribution rule in the next step
note2: I plugged in y = 2x+7, ie replaced every copy of y with 2x+7, then I distributed twice more in the next step

This is probably a bit wordy and you probably won't have this many steps, but it hopefully gives you a good idea of what's going on.