What is the degree, type, leading coefficient, and constant term of g(x)=3x^4+3x^2−2x+1?

Tamara Anthony

Tamara Anthony

Open question

2022-08-21

What is the degree, type, leading coefficient, and constant term of g ( x ) = 3 x 4 + 3 x 2 2 x + 1?

Answer & Explanation

Dale Rose

Dale Rose

Beginner2022-08-22Added 7 answers

For a polynomial in descending order (largest exponent first):
f ( x ) = a n x n + a n 1 x n 1 + a n 2 x n 2 + . . . , + a 1 x + a 0
The degree is n
The leading coefficient is a n
The constant term is a 0
The type is based on the number of terms:
1 term is a monomial
2 terms is a binomial
3 terms is a trinomial
4 terms is a quartic polynomial
4 or more terms is called a polynomial
Given: g ( x ) = 3 x 4 + 3 x 2 2 x + 1
Degree is 4th
Coefficient of the x 4 is 3
There are 4 terms: quartic polynomial
The constant term is the last term without a variable: 1

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