Question

Which polynomial is a quintic binomial?

x^4 + 2x^3 − x^2 + 7x + 11
x^2 + 4x
3x^5 + 2
5x^2 − 2x + 1

Answer 1

Option (c) is correct.

`3x^5+2` is a quintic polynomial.

Explanation:

Given : some polynomial with different degrees.

We have to choose out of given options the polynomial that is Quintic binomial.

Quintic binomial is a binomial having highest degree 5. means a polynomial of the
`ax^5+bx^4+cx^3+dx^2+ex+f=0` where the coefficient of
`x^5` that is a ≠ 0.

Out of given option only option (3) is a polynomial with highest degree 5.

Thus,
`3x^5+2` is a quintic polynomial.

Answer 2

Polynomial A : x^4 + 2 x³ - x² + 7 x + 11 has a Quartic degree.
Polynomial B : x² + 4 x is a Quadratic binomial.
Polynomial D : 5 x² - 2 x + 4 has a Quadratic degree.
Answer:
Polynomial D : 3 x^5 + 2 is a Quintic binomial