what is the maximum no. of term in a polynomial of degree 10
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A polynomial of degree 10 contains variables with powers of 10, 9, 8, 7 , ..
, 0
However, for a polynomial of degree 10, just the variable of power 10 is necessary. Others can be zero.
However, for maximum number of terms, we need to consider all.
There are variables of power 10,9,8,...,0 (total 11)
Thus, maximum number of terms is 11
Eg: x^10 + 3x^9 - 6x^8 + x^7 + 9x^6 -
4x^5 -3x^4 + 5x^3 + 7x^2 + x + 3
, 0
However, for a polynomial of degree 10, just the variable of power 10 is necessary. Others can be zero.
However, for maximum number of terms, we need to consider all.
There are variables of power 10,9,8,...,0 (total 11)
Thus, maximum number of terms is 11
Eg: x^10 + 3x^9 - 6x^8 + x^7 + 9x^6 -
4x^5 -3x^4 + 5x^3 + 7x^2 + x + 3
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