Find the degree of the polynomial: $1 + 2 x + 3 x^{2} - 11 x^{4}$

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Solution

$1 + 2 x + 3 x^{2} - 11 x^{4}$
The degree is the value of the greatest exponent of any expression (except the constant ) in the polynomial.
Here, term with greatest exponent $= - 11 x^{4}$
exponent of this term $= 4$
Thus, degree $= 4$

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