SOLUTION: Please help me to understand how to solve this problem. Arrange in descending exponent form and give the degree. {{{8-x}}} I am totally lost.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Please help me to understand how to solve this problem. Arrange in descending exponent form and give the degree. {{{8-x}}} I am totally lost.      Log On


   



Question 94063: Please help me to understand how to solve this problem. Arrange in descending exponent form and give the degree. 8-x
I am totally lost.

Answer by bucky(2189) About Me  (Show Source):
You can put this solution on YOUR website!
Descending order involves the exponents of x. In descending order the exponents of x decrease
as you read from left to right.
.
The following is an example of the descending order of x:
.
x%5E5 x%5E4 x%5E3 x%5E2 x%5E1 x%5E0
.
Of course the exponents could be bigger than the 5 I started with. And each of the terms
in this descending order may have a multiplier associated with it ... for example, the series
of terms
.
5x%5E5 3x%5E4 7x%5E3 4x%5E2 -2x%5E1 14x%5E0
.
is arranged in descending powers of x. Some of the multipliers could be zero, and that
would cause that power of x to disappear.
.
One thing to note. What is x%5E0? Remember the rule that says anything raised to
a zero power is equal to 1. So x%5E0+=+1. And also remember the rule that says
anything raised to the first power is itself. So x%5E1+=+x.
.
Now back to your problem you are given 8+-+x+ and asked to arrange it in descending
powers of x.
.
Note that 8+=+8+%2A+1+=+8%2Ax%5E0. And note that -x+=+-1%2Ax%5E1
.
Therefore, the answer to your problem is that in descending powers of x, the numbers
are:
.
-x%5E1+%2B+8x%5E0+=+-x+%2B+8
.
and the minus x is to the first power, and the +8 is to the zero power. Therefore,
the highest exponent involved is 1 and this makes it a first degree or first order binomial.
.
Hope this is what you were looking for.