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Q.

The highest power of the variable in a polynomial is called its [[1]].

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answer is DEGREE.

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Detailed Solution

The highest power of the variable in a polynomial is called its degree.
We know that,
The standard form polynomial is x2+x+a.
The power is simply number in the exponent.
In the polynomial, x2+x+a, the power of the first term is 2.
The degree of the polynomial is 2 since it has the largest exponent, which is the case with all polynomials.
Thus, the degree of a polynomial is the largest power of the variable in the polynomial.
 
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The highest power of the variable in a polynomial is called its [[1]].