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Would the sum of three polynomials again be a polynomial?
Yes.
How is the degree of of the sum related to the degree of the original polynomials?
Usually the sum will have the same degree as the highest degree of the polynomials that are added. However, it is also possible for the highest term to cancel, for example if one polynomial has an x3, and the other a -x3. In this case, the sum will have a lower degree.
Find two polynomials whose ratio simplifies to 3x-12x plus 1 and whose sum is 5xsquared plus 20?
The question cannot be answered because the ratio of the polynomials cannot simplify to "3x-12x plus 1" since that is not a simplified form: it simplifies to -9x + 1.
Where did René Descartes invent polynomials?
Descartes did not invent polynomials.
What is the characteristic of a reciprocal?
Reciprocal polynomials come with a number of connections with their original polynomials
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.
Would the sum of three polynomials again be a polynomial?
Yes.
What does polynomials mean in mathematical terms?
It means the sum of several monomials.
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.
How is the degree of of the sum related to the degree of the original polynomials?
Usually the sum will have the same degree as the highest degree of the polynomials that are added. However, it is also possible for the highest term to cancel, for example if one polynomial has an x3, and the other a -x3. In this case, the sum will have a lower degree.
Rules in adding polynomials?
To add polynomials , simply combine similar terms. Combine similar terms get the sum of the numerical coefficients and affix the same literal coefficient .
Why do we use polynomials?
To find the curve of a pizza.
What is true about sum of the two polynomials 6s^2t- 2st^24s^2t-3st^2?
24
Find two polynomials whose ratio simplifies to 3x-12x plus 1 and whose sum is 5xsquared plus 20?
The question cannot be answered because the ratio of the polynomials cannot simplify to "3x-12x plus 1" since that is not a simplified form: it simplifies to -9x + 1.
Which property of polynomial addition says that the sum of two polynomials is always a polynomial?
It is called the property of "closure".
Will the sum of two polynomials always be a polynomial?
Yes. Note that specifically, the sum might be a constant (just a number), or even zero, but it is convenient to include those in the definition of "polynomial".
Polynomials have factors that are?
Other polynomials of the same, or lower, order.
