Which polynomial is written in standard form?

Choice B)

-5x^3 + 9x^2 + 2x

Explanation:

Standard form is where the largest exponent term goes first, then the next largest, and so on. The exponents are decreasing when moving from left to right.

So that's why -5x^3+9x^2+2x is in standard form. Think of the 2x at the end as 2x^1. That might help show the exponents are decreasing (3,2,1).

The largest exponent is the degree, meaning that we have a third degree polynomial (aka cubic polynomial).

The first term -5x^3 is considered the leading term and -5 is the leading coefficient.

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.

a.) list the factors of 40.

1/2/4/5/8/10/20/40

b.) list the factors of 40 that represent the number of cans that could be on each shelf.

5

c.) how many different arrangements of cans are possible?

just one because if you put more on one shelf you will go way over 40 and the cabinet will probably break.

d.) what are the possible arrangements of the cans?

put 5 cans on each self to reach 40 cans in total.

e.) which arrangement uses all the shelves?

5 because you can put 5 cans on each shelf, and since there are 8 shelfs you are equally going to get 40 cans.