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I suspect that the answer is 13x9 + x + 5 + 4/x4
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How do you find sum of polynomials?
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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.
Can the sum of two polynomials with x as the variable both starting as degree 4 simplify to be of degree 3 in the answer?
Yes. Here is an example: P1 = 5x4 + 3x3; P2 = -5x4 -2
