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The highest power of a variable in a non-zero polynomial is called …..of the polynomial

Question

The highest power of a variable in a non-zero polynomial is called ….. of the polynomial

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Solution

The highest power of a variable in a non-zero polynomial is called the degree of the polynomial.

In mathematics, a polynomial is an expression consisting of variables raised to non-negative integer powers and multiplied by coefficients. The degree of a polynomial provides significant information about its properties, such as the number of roots or solutions it may have, the end behavior of the polynomial function, and more.

For example, in the polynomial 3x4+2x35x+1 3x^4 + 2x^3 - 5x + 1 , the highest power of the variable x x is 4, which means that the degree of this polynomial is 4.

Understanding the degree of a polynomial is essential in various mathematical analyses, including calculus and algebra, where it plays a crucial role in function behavior and graphing.

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