Find the degree of the polynomial $x^{3} + 3 x - 2$ .
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Solution

The degree is the value of the greatest exponent of the terms in the polynomial. To find the degree, you need to find the largest exponent on the variable in the polynomial. Here, the largest exponent on the variable is 3. Thus, the degree of the polynomial is 3.

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The degree of the polynomial obtained when $8 - 6 x + x^{2} - 7 x^{3} + x^{5}$ is subtracted from $x^{4} - 6 x^{3} + x^{2} - 3 x + 1$ is:

[x + (x^{3} - 1)^{1 / 2}]^{5} + [x - (x^{3} - 1)^{1 / 2}]^{5}

[x + (x^{3} - 1)^{1 / 2}]^{5} + [x - (x^{3} - 1)^{1 / 2}]^{5}

Find the degree of the polynomial -3x + 1.

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