Summarize the following:
If you have a polynomial, or an equation with multiple variable terms in it, the standard form of that equation is to arrange the variable terms so that degrees of each term flow from highest to lowest.  Example: Change the following into standard form: 8x + 2x3 - 4x4 + 7x2 + x5 = 10 The equation may or may not already follow the standard form of a variable equation. If it does not, you will need to shift all terms to the left side so that only "0" remains on the right side of the equal sign.  Do this by following the same steps outlined in the "Standard Form of a Variable Equation" section. Add or subtract values to both sides of the equation nothing but "0" remains on the right side. 8x + 2x3 - 4x4 + 7x2 + x5- 10 = 10 - 10 8x + 2x3 - 4x4 + 7x2 + x5 - 10 = 0 To put this equation in standard form, you will need to rearrange the terms so that the highest variable is first and the remaining variables descend in order.  If there is a non-variable term in your equation, it must be the last one. You must also make sure that each variable keeps its charge (positive or negative) when you move it.  Example: 8x + 2x3 - 4x4 + 7x2 + x5 - 10 x5 - 4x4 + 2x3 + 7x2 + 8x - 10 = 0 Once the variables are arranged in descending order, you have the standard form of the equation.  Example: The standard form of the equation is: x5 - 4x4 + 2x3 + 7x2 + 8x - 10 = 0

summary: Look at the original equation. Shift all the terms to one side, if necessary. Rearrange the variable terms. Write your final answer.


Summarize the following:
It's a good idea to find one with something that says "Baby's First Christmas" as well as the year on it.  Make sure to write the year you gave the ornament to you child somewhere on the ornament! That way, they can put it on their own Christmas tree! If you wrote the years on the ornaments, they can even look at them all and say "Wow, I got this when I was three years old!"

summary: On your baby's first Christmas, go and buy an ornament for them. On Christmas day, give it to your baby from either yourself or Santa Claus. Every year, buy another Christmas ornament and give it to your child from Santa Claus. Once your child moves out of the house, give them their collection of Christmas ornaments.


Summarize the following:
A sagging couch could be the result of worn out cushions, old springs, or a bad frame. If the problem is the cushions, you're in for an easy fix. If the cushions seem fine upon inspection, you may have to replace the springs or the frame. Depending on the level of damage you may need to replace the entire couch. Before you start taking your couch apart, take some pictures so you have something to refer to. If you can, take the pictures to a local furniture repair shop and see if they can help you determine the problem. Remove all the sofa cushions and turn the couch over so that you can see the bottom. Look for torn fabric and broken or rotted wood.  If you see any cracked wood, or wood that is "bowed" out, you'll need to replace it. This will involve taking off most of the upholstery fabric and can be time consuming.  You may have to remove some of the fabric on the bottom, known as a dust cover, to inspect the springs. Be gentle and take care not to rip the fabric. Some couches have zig-zag springs which are also known as "sagless" springs. Other couches use coiled springs.  Determine whether your springs are bent or broken. If the springs are bent you may be able to fix them yourself. If they're broken you may need to bring your couch to an upholsterer. Older couches tend to have coiled springs, while newer couches have zig-zag springs. Your couch may not have springs at all, depending on the quality of the frame. Check the space beneath the cushions. You may find that the slats or straps of the couch have snapped.
summary: Determine why your couch is sagging. Take pictures. Inspect the frame of the sofa. Take note of what kind of springs your couch has.