For each polynomial, state the constant term, the leading coefficient, and the degree of the polynomial. 5x^{2}-8x+2x^{4}-3

ankarskogC

ankarskogC

Answered question

2021-05-05

For each polynomial, state the constant term, the leading coefficient, and the degree of the polynomial.
5x28x+2x43

Answer & Explanation

gotovub

gotovub

Skilled2021-05-06Added 98 answers

Step 1
Given a polynomial equation,
5x28x+2x43
Step 2
Find the constant term, the leading coefficient, and the degree of the polynomial:
we know that,
The constant term of the polynomial is a term that is independent of 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,
5x28x+2x43
From the definition we get,
The term which has independent of the variable is -3.
Constant=-3
The highest power of the variable x in the polynomial equation is 4
Degree of the polynomial=4
The coefficient of the term with the highest power of variable x is 2
leading coefficient=2

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