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Monomial

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Question

Write the following monomials according to their degrees the ascending order
(a) $\frac{1}{5} x^{11}, - 5 x^{7}, 4, 5 x^{10}, 2 x^{3}, x, 9 x^{5}, 3 x^{2}$
(b) $6 x^{15}, 4 x^{2}, 9, x, 5 x^{6}, 7 x^{9}, 3 x^{3}$

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Solution

The degree of a polynomial is the highest degree of its terms when the polynomial is expressed in its canonical form consisting of a linear combination of monomials. The Ascending order of the given monomials are:
a. $\frac{1}{5} x^{11}, 5 x^{10}, - 5 x^{7}, 9 x^{5}, 2 x^{3}, 3 x^{2}, x, 4$
b. $6 x^{15}, 7 x^{9}, 5 x^{6}, 3 x^{3}, 4 x^{2}, x, 9$

Note: 4 can be written as $4 x^{0}$ having the lowest degree and so is for 9

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