4m^(2)-3m^(6)+5m^(4) What is the degree of the polynomial?

Definition of degree: The degree of a polynomial is the highest power of the variable in any term of the polynomial. To find the degree, we need to look at the exponents of the variable m in each term of the polynomial 4m^(2)-3m^(6)+5m^(4).Finding the degree: The first term is 4m^(2), which has an exponent of 2 on the variable m.Analyzing the first term: The second term is -3m^(6), which has an exponent of 6 on the variable m.Analyzing the second term: The third term is 5m^(4), which has an exponent of 4 on the variable m.Analyzing the third term: Comparing the exponents, we see that the second term, -3m^(6), has the highest exponent, which is 6.Comparing the exponents: Therefore, the degree of the polynomial 4m^(2)-3m^(6)+5m^(4) is 6.

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4m^(2)-3m^(6)+5m^(4)
What is the degree of the polynomial?

$4m^{2}-3m^{6}+5m^{4}$ $\newline$ What is the degree of the polynomial?

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Algebra 1

Multiply a polynomial by a monomial

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4m^{2}-3m^{6}+5m^{4}

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What is the degree of the polynomial?

Definition of degree: The degree of a polynomial is the highest power of the variable in any term of the polynomial. To find the degree, we need to look at the exponents of the variable $m$ in each term of the polynomial $4m^{2}-3m^{6}+5m^{4}$ .
Finding the degree: The first term is $4m^{2}$ , which has an exponent of $2$ on the variable $m$ .
Analyzing the first term: The second term is $-3m^{6}$ , which has an exponent of $6$ on the variable $m$ .
Analyzing the second term: The third term is $5m^{4}$ , which has an exponent of $4$ on the variable $m$ .
Analyzing the third term: Comparing the exponents, we see that the second term, $-3m^{6}$ , has the highest exponent, which is $6$ .
Comparing the exponents: Therefore, the degree of the polynomial $4m^{2}-3m^{6}+5m^{4}$ is $6$ .