0
Let's try an example:
The difference between (6x3 + x2 - 4x + 9) and (6x3 + x2 - 4x + 7) is 2 .
2 is a polynomial of degree 0, so this example would appear to support the hypothesis in the question.
However, polynomials cannot include negative exponents. So, (2x)/(2x2) produces 1/x, which is not a polynomial.
So no, not always.
Still curious? Ask our experts.
Chat with our AI personalities
MaxineI respect you enough to keep it real.
Chat with Maxine
LaoThe path is yours to walk; I am only here to hold up a mirror.
Chat with Lao
RafaThere's no fun in playing it safe. Why not try something a little unhinged?
Chat with RafaAdd your answer:
Earn +20 ptsQ: Is the difference of two polynomials always a polynomial?
Write your answer...
Submit
Still have questions?
Continue Learning about Algebra
What property of polynomial subtraction says hat the difference of two polynomials is always a polynomial?
Closure
Can the sum of three polynomials again be a polynomial?
The sum of two polynomials is always a polynomial. Therefore, it follows that the sum of more than two polynomials is also a polynomial.
Is it possible to add 2 polynomials together and your answer is not a polynomial?
No. Even if the answer is zero, zero is still a polynomial.
What property of polynomial multiplication says that the product of two polynomials is always a polynomial?
Clouser
Which property of polynomial multiplication says that the product of two polynomials is always a polynomial?
That property is called CLOSURE.
Trending Questions
What is the square root of 361?
What is 8 minus x?
What is an hibve pre algebra with pizzazz page 153?
Is A function with a graph that is symmetric about the origin an even function?
Construct a systematic 7 4 cyclic code using generator polynomial?
How do you evaluate a fraction of 10 over 7?
In the equation Q 12 equals 89 what is the value of Q?
What quadrilateral has 2 sets of parallel sides of equal length?
What is 8.15 as a mixed fraction?
What is the solution to this equation 2x plus 3(x and ndash 10) 45?
What is a positive factor?
What is the range of the data 5 8 15 3 20?
How do you factorise x squared 15x 24 5x 3?
Does pi times any number equal an irrational number?
What is the difference between a radical and a square root?
What is the cube root of 216?
If quadrilateral ABCD is a parallelogram in which angle B equals 100 degrees how many degrees would be a plus c?
Is every finite abelian group is cyclic?
When are vectors orthogonal?
Does the number line end?
Copyright ©2025 Infospace Holdings LLC, A System1 Company. All Rights Reserved. The material on this site can not be reproduced, distributed, transmitted, cached or otherwise used, except with prior written permission of Answers.