The degree of p(x) = x^2(1 + x + x^2) + 5 is. | vedclass

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(C) To find the degree of the polynomial $p(x) = x^2(1 + x + x^2) + 5$,we first expand the expression.By distributing $x^2$ into the parentheses,we ge

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$4$

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(C) To find the degree of the polynomial $p(x) = x^2(1 + x + x^2) + 5$,we first expand the expression.By distributing $x^2$ into the parentheses,we get:$p(x) = x^2(1) + x^2(x) + x^2(x^2) + 5$$p(x) = x^2 + x^3 + x^4 + 5$Rearranging the terms in descending order of their powers,we have:$p(x) = x^4 + x^3 + x^2 + 5$The degree of a polynomial is defined as the highest power of the variable $x$ present in the expression.In this polynomial,the highest power of $x$ is $4$.Therefore,the degree of $p(x)$ is $4$.

The degree of $p(x) = x^2(1 + x + x^2) + 5$ is.............

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