1. ## Polynomials

I just started a math class and am trying to figure out what I am doing but am struggling with a bit of homework.

1. (X+3)(2x^3 -5)(x^7+3)

2. (3x^2+11y^2)^2

3.(9x+10y)^3

4. (1-3y)^3

Thanks everyone

2. The very first thing to do would be to present a problem statement. Those are lovely expressions. What is to be done with them?

You have studied multiplication all these years, now is the time to use it. Multiply each piece of one factor by each piece of every other factor. Do the first one and let's see what you get.

3. Originally Posted by IN540
I just started a math class and am trying to figure out what I am doing but am struggling with a bit of homework.

1. (X+3)(2x^3 -5)(x^7+3)

2. (3x^2+11y^2)^2

3.(9x+10y)^3

4. (1-3y)^3

Thanks everyone
You will find it advantageous to tell us what you have been asked to do with these expressions. I for one do not like guessing what you are asking.

I will assume that you want to expand these.

Do this by multiplying out brackets:

$\displaystyle (x+3)(2x^3 -5)(x^7+3)=(x+3)(2x^3(x^7+3)-5(x^7+3))=(x+3)(2x^{10}-5x^7+6x^3-15)$

...... $\displaystyle =x(2x^{10}-5x^7+6x^3-15)+3(2x^{10}-5x^7+6x^3-15)$$\displaystyle =2x^{11}+6x^{10}-5x^8-15x^7+6x^4+18x^3-15x-45$

Now try the others yourself

RonL

4. Sorry I did not specify what my assignment was. I am supposed to simplify each polynomial.
I worked these previously and got similar answers each time but we are using a very touchy online homework site and I am having trouble putting in the problems in correctly.

5. Originally Posted by IN540
Sorry I did not specify what my assignment was. I am supposed to simplify each polynomial.
I worked these previously and got similar answers each time but we are using a very touchy online homework site and I am having trouble putting in the problems in correctly.
They are already simplified, about the only thing that you can do with them is expand them.

RonL