Find the degree of the polynomial $(x^{2} + 9) (5 - x^{2})$ .

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Solution

Find the degree of the polynomial $(x^{2} + 9) (5 - x^{2})$
$= (x^{2} + 9) (5 - x^{2})$
$= 5 x^{2} - x^{4} + 45 - 9 x^{2}$
$= - x^{4} - 4 x^{2} + 45$
Highest degree of equation is 4.

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