Question

What is the maximum number of terms in a polynomial of degree 10

Answer 1

maximum number of terms in a polynomial of degree 10 with same variable is 11..
because if you write
.
$10 {x}^{10} + 9 {x}^{9} + 8 {x}^{8} + ...........$
and so on....it will end with x and if there is constant like 3..4... 5...etc. then there are 11 terms...

Answer 2

HERE'S YOUR ANSWER
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In a polynomial having the degree 'n', the number of terms are 'n+1' as one term is added due to the existence of a constantbterm in the polynomial.

Let,

a.x^10 + b.x^9 + c.x^8 + d.x^7 + e.x^6 + f.x^5 + g.x^4 + h.x^3 + i.x^2 + j.x + k = 0

be the general equation of the polynomial with degree 10.

Then, there are 10+1 = 11 terms in total.
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