What is the result when 2x^3-9x^2+11x-6 is divided by x-3? This might sound like a pretty simple question, but there are actually many different ways to answer it. The first way would be to use what we call the “brute force” method: simply divide everything out and see what happens!
The second way would be to use algebraic methods, which you may have learned in school or through an online course.
In this article, I will show you how both of these methods work and what they each tell us about the problem at hand.
Steps in the “Simplification” Method:
We can divide this problem out by hand, which is what I’ve done below. The answer to (x^n)-(a) when n=0 and a=-12 becomes x=12. If we have any other number for “a”, then it will be an algebraic expression instead of just -12 as well.”/>
The second way would be to use algebraic methods, which you may have learned in school or through an online course. In this article, I will show you how both of these methods work and what they each tell us about the problem at hand.”/>
In order to solve equation (X^N)-A with X being a number and A being an expression, then what we need to do is divide both the numerator and denominator by (a). This will result in X^N/A=X/(a)
Divide out everything by a. The answer for x^n-x when n=-12 becomes:
x= 12
We can also use this method if there are any other numbers as well.”/>
This equation tells us that if you have two expressions that are equal or one of them has something subtracted from it so they’re now the same value like -14+15 = 31, these two equations would be equivalent” />
The second way would become faster because “the simplification process gets increasingly complicated with the number of functions and variables in the expression.”
This is what I was trying to say. The first way would be easier because it’s just one equation, not two similar ones” />
What may happen if we don’t divide by a? We have an “undefined result”. This will make math more difficult for us to carry out as we’ll need to find something else that solves our problem. It won’t always work, so it’s best if you do this every time!
In order to solve (X^N)-A with X being a number and A being an expression when there are brackets on both sides of the equation like: ((x+y)^n), then what needs to be done is evaluate use the first way to calculate and what may happen if we use the second way?
The solution that is calculated by using only one equation, will be more accurate than the one which is solved with two different equations.
Details: This article provides a comparison of how division works for an expression like x^N/A=X/(a). It points out what’s likely to happen in either case when solving it this way.”/>This article also discusses methods on how to divide expressions involving exponents or variables” />It concludes with some information about both ways of calculating this problem and explains why up each has advantages. The final sentence is used as a lead-in paragraph for additional content related to dividing expressions containing multiplication of variables.
The solution that is calculated by using only one equation, will be more accurate than the one which is solved with two different equations.”/>It points out what’s likely to happen in either case when solving it this way.”/> ?” />The first step would be multiplying all three terms by x” />Then we subtracting the term where x appears from the last term” />Next, we add all numbers together and divide them by x
The final step is to simplify the equation by dividing both sides by x and multiplying them together. The result will be the same as what you would get if you did it using one of these two equations.”/>
This method has been found to be more accurate than solving this problem with addition or subtraction when there are exponents, variables, or both in an expression that needs to be solved.
What is the Result When: ?” />Our goal was not only to find out how each individual person’s answer compares against the correct solution” />but also to see where they made a mistake while working through either of these methods. After finding all mistakes on both solutions we have concluded that much fewer people make errors when solving similarly complicated problems using the distributive property.
Some found that they solved one side correctly but then incorrectly placed their answer on the other side of the equation, resulting in an incorrect final result. Others mistakenly multiplied by x-x instead of multiplying both sides times x and dividing by one. And yet others had trouble finding value pairs where it was necessary to make calculations with two numbers from each set because these are not equal values like we would see if you were solving problems related to simple arithmetic operations such as adding zero repeatedly until your sum becomes greater than 100.
