Which polynomial is a quintic binomial?A. x 4 - 2 x 3 - x 2...

Savion Cameron

Savion Cameron

Answered

2022-12-18

Which polynomial is a quintic binomial?
A. x 4 - 2 x 3 - x 2 + 7 x + 11
B. x 2 + 4 x
C. 3 x 5 + 2
D. 5 x 2 - 2 x + 1

Answer & Explanation

Kali Bates

Kali Bates

Expert

2022-12-19Added 6 answers

Solution
The correct option is C
3 x 5 + 2
Explanation of the correct option:
Option C:
A polynomial of fifth-degree is called a quintic binomial.
So based on the question only 3 x 5 + 2, which is a polynomial of degree 5
Thus the polynomial 3 x 5 + 2 is a quintic binomial.
So, the correct option is option C.
Thus, option C is the correct answer.
Explanation of the incorrect options:
Option A:
The polynomial x 4 - 2 x 3 - x 2 + 7 x + 11 is a polynomial of degree 4 . And a fourth-degree polynomial is called a bi-quadratic polynomial.
So, option A is the incorrect option.
Option B:
The polynomial x 2 + 4 x is a polynomial of degree 2 .A second-degree polynomial is called a quadratic polynomial.
So, option B is the incorrect option.
Option D:
The polynomial 5 x 2 - 2 x + 1 is a polynomial of degree 2 .The second-degree polynomial is called a quadratic polynomial.
So, option D is the incorrect option.
Hence from the obtained information, only option C is correct.
Thus, option C is the correct option.

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