What is the leading term, leading coefficient, and degree of this polynomial 8x^2+9+5x^3?

Sep 16, 2015

Leading term: $5 {x}^{3}$
Leading coefficient: $5$
Degree: $3$

Explanation:

To determine the leading coefficient and leading term, it is necessary to write the expression in canonical form:

$5 {x}^{3} + 8 {x}^{2} + 9$

The degree is the largest exponent value of the variable in any term of the expression (for an expression with multiple variables it is the maximum of the sum of exponents).

Sep 17, 2015

leading term, leading coefficient, and degree of the polynomial is $5 {x}^{3} , 5 , 3$ respectively.

Explanation:

The leading term of a polynomial is the term with the highest degree.

The leading coefficient of a polynomial is the coefficient of the leading term.

The degree of a polynomial is the highest degree of its terms.

Hence,leading term, leading coefficient, and degree of the polynomial is $5 {x}^{3} , 5 , 3$ .

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