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(D) The given polynomial is $p(x) = x^{3} - 3(x^{2})^{4} - 15$.First,simplify the term $(x^{2})^{4}$ using the power of a power rule $(a^{m})^{n} = a^

Vedclass · Accepted Answer

$8$

Vedclass · Answer

(D) The given polynomial is $p(x) = x^{3} - 3(x^{2})^{4} - 15$.First,simplify the term $(x^{2})^{4}$ using the power of a power rule $(a^{m})^{n} = a^{m 	imes n}$.$(x^{2})^{4} = x^{2 	imes 4} = x^{8}$.Substituting this back into the polynomial,we get $p(x) = x^{3} - 3x^{8} - 15$.The degree of a polynomial is defined as the highest power of the variable present in the expression.In the expression $x^{3} - 3x^{8} - 15$,the powers of $x$ are $3$,$8$,and $0$ (since $15 = 15x^{0}$).The highest power is $8$.Therefore,the degree of the polynomial is $8$.

Find the degree of the following polynomial: $x^{3}-3(x^{2})^{4}-15$.

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