Question

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

Polynomial factorization
ANSWERED
asked 2021-05-05
For each polynomial, state the constant term, the leading coefficient, and the degree of the polynomial.
\(5x^{2}-8x+2x^{4}-3\)

Answers (1)

2021-05-06
Step 1
Given a polynomial equation,
\(5x^{2}-8x+2x^{4}-3\)
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,
\(5x^{2}-8x+2x^{4}-3\)
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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