For each polynomial, state the constant term, the leading coefficient, and the degree of the polynomial. 5x^{2}-6x^{3}+3x^{6}+7

Cabiolab

Cabiolab

Answered question

2021-05-09

For each polynomial, state the constant term, the leading coefficient, and the degree of the polynomial.
5x26x3+3x6+7

Answer & Explanation

Faiza Fuller

Faiza Fuller

Skilled2021-05-10Added 108 answers

Step 1 
Given a polynomial equation, 
5x26x3+3x6+7 
Step 2 
Find the polynomial's degree, leading coefficient, and constant term:
we know that, 
The polynomial's constant term is a term that doesn't depend on the variable (does not contain any variable).
The degree of the polynomial is the highest power that occurs in the variable of the polynomial equation then that power is said to be the degree of the polynomial. 
The coefficient term of the polynomial with the highest power term is said to be leading coefficent. 
Consider, 
5x26x3+3x6+7 
From the definition we get, 
The term which has independent of the variable is 7. 
Constant=7 
The highest power of the variable x in the polynomial equation is 6 
Degree of the polynomial=6 
The coefficient of the term with the highest power of variable x is 3 
leading coefficient=3

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