State the degree of the following polynomial: | vedclass

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(C) To find the degree of the polynomial $p(x) = x^{15} - (x^5)^6 + x^3 - 7$,we first simplify the expression.Using the power rule of exponents $(a^m)

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$30$

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(C) To find the degree of the polynomial $p(x) = x^{15} - (x^5)^6 + x^3 - 7$,we first simplify the expression.Using the power rule of exponents $(a^m)^n = a^{m 	imes n}$,we simplify the term $(x^5)^6$:$(x^5)^6 = x^{5 	imes 6} = x^{30}$.Now,substitute this back into the polynomial:$p(x) = x^{15} - x^{30} + x^3 - 7$.The degree of a polynomial is defined as the highest power of the variable $x$ present in the expression.Comparing the powers of $x$ in the terms $x^{15}$,$x^{30}$,and $x^3$,the highest power is $30$.Therefore,the degree of the polynomial is $30$.

State the degree of the following polynomial: $p(x) = x^{15} - (x^5)^6 + x^3 - 7$.

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