State the degree of the given polynomial: p(x | vedclass

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(C) Given polynomial is $p(x) = 5x^{100} - (x^{10})^{20} + 3(x^2)^{25} + 2x^{25} - 7$.First,simplify the exponents using the power rule $(x^a)^b = x^{

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$200$

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(C) Given polynomial is $p(x) = 5x^{100} - (x^{10})^{20} + 3(x^2)^{25} + 2x^{25} - 7$.First,simplify the exponents using the power rule $(x^a)^b = x^{a \cdot b}$:$(x^{10})^{20} = x^{10 \cdot 20} = x^{200}$$(x^2)^{25} = x^{2 \cdot 25} = x^{50}$Substitute these back into the polynomial:$p(x) = 5x^{100} - x^{200} + 3x^{50} + 2x^{25} - 7$Rearrange the terms in descending order of their powers:$p(x) = -x^{200} + 5x^{100} + 3x^{50} + 2x^{25} - 7$The degree of a polynomial is the highest power of the variable $x$ present in the expression.Here,the highest power is $200$.Therefore,the degree of the polynomial is $200$.

State the degree of the given polynomial: $p(x) = 5x^{100} - (x^{10})^{20} + 3(x^2)^{25} + 2x^{25} - 7$

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