State the degree of the following polynomial: | vedclass

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(A) To find the degree of the polynomial $p(x) = (x^{1/2})^{50} - 5x^{10} - 9x^2 + 15$,we first simplify the expression.Using the power of a power rul

Vedclass · Accepted Answer

$25$

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(A) To find the degree of the polynomial $p(x) = (x^{1/2})^{50} - 5x^{10} - 9x^2 + 15$,we first simplify the expression.Using the power of a power rule $(a^m)^n = a^{m \cdot n}$,we simplify the first term:$(x^{1/2})^{50} = x^{(1/2) \cdot 50} = x^{25}$.Now,the polynomial becomes $p(x) = x^{25} - 5x^{10} - 9x^2 + 15$.The degree of a polynomial is defined as the highest power of the variable $x$ present in the expression.Comparing the exponents of $x$ in the terms $x^{25}$,$x^{10}$,and $x^2$,the highest exponent is $25$.Therefore,the degree of the polynomial is $25$.

State the degree of the following polynomial: $p(x) = (x^{1/2})^{50} - 5x^{10} - 9x^2 + 15$.

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