How do you find leading coefficient.

Andreasihf

Andreasihf

Answered question

2022-09-03

How do you find leading coefficient.

Answer & Explanation

letovanjelm

letovanjelm

Beginner2022-09-04Added 13 answers

By definition, the leading coefficient of a polynomial is the coefficient of the term with the highest degree. So, u need to findthe degree of each term in a polynomial. The highest degree term gives u the leading coefficient.
For example, consider the polynomial 3 x 2 y 3 + 2 x 5 y 7 x y 3 . The degree of a term is the sum of the exponents on the variables in that term. This means that the degree of 3 x 2 y 3 is 2 + 3 or 5, of 2 x 5 y is 6, and of 7 x y 3 is 4.
The highest degree is of the second term whose coefficient is 2. Thus, the leading coefficient of 3 x 2 y 3 + 2 x 5 y 7 x y 3 is 2.
blogswput

blogswput

Beginner2022-09-05Added 1 answers

leading coefficient: The coefficient of a polynomial's leading term
since the polynomial's leading term in your question is x 3 with coefficient of 1, therefore the leading coefficient = 1

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