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yulyashka
9 days ago
10

is the sum of two polynomials of degree 5 always a polynomial of degree 5? Give an example to explain your answer

Mathematics
1 answer:
tester [11.9K]9 days ago
7 0
An example to consider is

f(x)=5x^5+2x^3+3x
g(x)=-5x^5-x^4+x^2-4

Consequently, f(x)+g(x) results in -x^4+2x^3+x^2+3x-4, which classifies as a polynomial of degree 4.

Thus, the conclusion is negative. A counter-example is illustrated above.
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