Question

Write the polynomial in standard form:

(0.3 - 2m)^2

Answer 1

Someone....help?
@mathmale @TSO @Mehek14

Answer 2

(a-b)^2=a^2-2ab+b^2

Answer 3

How'd you find that answer though???

Answer 4

tis a binomial at the second power
expand it
then put it in standard form

Answer 5

(0.3 - 2m)^2 is a polynomial; it is NOT an equation.

You are asked expand this "square of a binomial" and then rearrange the resulting terms in descending order by powers of x.

Try that, please. Do not try to make an equation out of this.

Ask questions if any of these suggestions are not clear to you.

Answer 6

or FOIL it \(\bf (0.3 - 2m)^2\iff (0.3 - 2m)(0.3 - 2m)\)

Answer 7

So, what's next? What do I do? I have NO idea what Im being asked here. .-.

Answer 8

@mathmale @jdoe0001

Answer 9

I would recommend that you do the same thing as jdoe has recommended:\[\bf (0.3 - 2m)^2\iff (0.3 - 2m)(0.3 - 2m)\]

Answer 10

So....that would be my final answer?

Answer 11

\[(0.3 - 2m)^2\iff (0.3 - 2m)(0.3 - 2m)\]

Answer 12

No.
Here's what's happening here:
1. Copy down the original problem: (0.3-2m)^2.
2. Expand this "square of a binomial" as jdoe has recommended.

3. Write the four resulting terms in descending order by powers of m.

4. Simplify the result from (3), above.

Answer 13

\[(0.3 - 2m)^2\iff (0.3 - 2m)(0.3 - 2m)\]

Answer 14

So, I still don't get it. My final answer would be 3 after I squared the binomial??

Answer 15

What does "FOIL" mean? F stands for "first terms," O for "outer terms," I for "inner terms," and L for "last terms."

\[ (0.3 - 2m)(0.3 - 2m)\]

Answer 16

F: First terms: 0.3 and 0.3 are the first terms in the above product of 2 binomials.
Multiply them together. What do you get?

O; Outer terms. 0.3 and -2m are the outer terms of the above product. Multiply them together. What do you get?

Can y ou do the I and L parts on your own? I: innter terms; L: Last terms.

Answer 17

(0.3)(0.3)=?
(0.3)(-2m)=?
(-2m)(0.3)=?
(-2m)(-2m)=?

Answer 18

0.3 * 0.3 = 0.09
0.3*-2m = -0.6m
-2m)(0.3 = -0.6m
-2m*-2m = 4m

Answer 19

Then sum them up: 0.09 - 0.6m - 0.6m + 4m^2 (note that you must square that m!)

OK with this?

Answer 20

Ohhhh, thank soooooooooooooooooooooooooooooooooooooo much :)

Answer 21

Combine the 2 middle terms into one.

Then, reverse the order of these terms, so that the first term is the m^2 term, the 2nd is the m term and the 3rd is the constant 0.09.

Then you'll be done.

You're welcome.

Glad to work with you.

Answer 22

Wait what? What do you mean by "reverse"?

Sorry, I don't know alot of math, math just isn't my best subject. :(

So, you meant that I do this:- 0.09 - 0.6m - 0.6m + 4m^2
4m^2 + 0.6m - 0.6m - 0.09

Answer 23

Or did you mean to combine like terms?

Answer 24

Reverse order, as in 4 3 2 1 becomes 1 2 3 4.

Yes, that's what I meant. However, you still have to combine the 2 middle terms, and to realize that the last (the constant) term is +, not -.

Answer 25

So, my final answer would be: 4m^2 + m + 0.09

Answer 26

Am I right? :)

Answer 27

@mathmale

Answer 28

What's the coefficient of m? what is -0.6m - 0.6m?

Answer 29

Oh, -0.6 + -0.6 = -0.12

So, it would be: -0.12m

Answer 30

-1.2m

Answer 31

correction, sorry

Answer 32

You are to combine these two terms, both of which are -. close, but not quite.

Please add: -0.6m
-0.6m
-------

Answer 33

Final answer: for the whole polynomial:

Answer 34

4m^2 -1.2m + 0.09

Answer 35

Great.