SOLUTION: Essay; show all work. Add the following polynomials: (1/10x^2 � 1/2x(-3/10))+(1/2x^2+1/4x(-1/5)) I got 3/5x^2-1/4x-1/2, but that just doesn't seem right. Essay; show all work. F

Question 548503: Essay; show all work. Add the following polynomials: (1/10x^2 � 1/2x(-3/10))+(1/2x^2+1/4x(-1/5)) I got 3/5x^2-1/4x-1/2, but that just doesn't seem right.
Essay; show all work. Find the product: (1/3x^2-2/3)*(1/2x -1/2)
For this one I have:
1/3x2 * 1/2x* -2/3 -1/2= 1/6x3 * 1/3=1/6x^3 * 1/3=1/6x3 * 1/3
Again, this just doesn't seem right.

I have no clue what I am doing. The textbook gives one example and that was of no help at all. My teacher gets frustrated when asked questions and acts like she's been ignored, when it's just a simple thing of not getting it. Can someone please help me out with this???
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Add the following polynomials:
(1/10x^2 � 1/2x(-3/10))+(1/2x^2+(1/4x)(-1/5))
-----------------------------
= (1/10)x^2 +(3/20)x + (1/2)x^2 - (1/20)x
-----
= (1/10)x^2 +(3/20)x + (5/10)x^2 - (1/20)x
-------
= (6/10)x^2 + (2/20)x
-----
= (6/10)x^2 + (1/10)x
====================================
Find the product: (1/3x^2-2/3)*(1/2x -1/2)
----
= (1/3)(x^2-2)(1/2)(x-1)
---
= (1/6)(x^3-x^2-2x+2)
===============================
Cheers,
Stan H.
================
Cheers,
Stan H.

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