To demystify the process of diving monomials, simply continue reading to discover a handy guide to follow, in order to ensure that you obtain the right answers.
How to divide monomials:
In order to be able to accurately divide monomials, your first step will be to decide whether you want to divide a monomial by another monomial or to divide a monomial by a polynomial. As both processes have different instructions to follow in order to get an accurate answer.
How to divide a monomial by another monomial:
Your first step should be to divide the coefficients of both of your monomials. Once you’ve done this, your second step entails diving your variables. If some of your exponents share the same base, you have to follow the law of exponents which specifies that you should divide by subtracting your exponents.
When you try and divide some monomials by other monomials you may need to simplify your equation in order to be able to solve it.
How to divide a monomial by a polynomial:
If you’re interested in learning how to divide a monomial to a polynomial, you’ll need to use a different, more complicated equation to find your desired answer. You’ll need to distribute a divisor that will be used to divide into either a sum or a difference.
Alternatively in some instances you’ll be able to use the number 2 to distribute into your equation and to simplify your complex equation. Once you’ve distributed the number 2 into each part of the equation which you’re working with, you’ll be able to divide your terms by the number 2.
To make things a little clearer when you divide a single monomial by a polynomial, start off by distributing the term 2x over your polynomial. You can do this by dividing each of your terms by 2x. Lastly, you should then divide each of your terms that you’re dealing with which will be a monomial with another monomial.
Extra tips on dividing monomials by polynomials:
1. Make sure that your final answers are expressed without the use of any negative exponents. If you have negative exponents in one of your final answers, you’ll need to relook at your answer and your processes in order to make sure that you’re able to come up with a final answer which doesn’t use any negative exponents.
Is there a quicker way to divide monomials by monomials and to divide monomials by polynomials?
While it’s a great idea to be able to manually work out how to divide monomials by other monomials and polynomials, so that you ensure that you understand the correct process, there is a shorter way of dividing monomials by monomials or polynomials.
The benefits of using a dividing monomials calculator:
Whether you’re still confused by the two equations which you’ll need to follow in order to be able to successfully divide monomials or you’re simply short on time, you can turn to using a dividing monomials calculator. Which will give you an accurate answer in a few seconds.
Better yet, the answers which you’ll get will never feature any negative exponents, which is a problem which you may face if you try to find your answers manually.