The degree of the sum of two polynomials each of degree 5 is always 5 true or false
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2
Answer:
True
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Answered by
3
Step-by-step explanation:
The degree of the sum of two polynomials each of degree 5 is not always 5.e.g
Let p(x)=−3x5+x2+4 and q(x)=3x5+x3−1
Clearly, both p(x) and q(x) are of degree 5.
Now, p(x)+q(x)=x3+x2+3, it is polynomial of degree 3 not 5.
Therefore,
The degree of the sum of two polynomials each of degree 5 is not always 5.
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