Question

Which of the following option(s) is/are true for $f\left(x\right)=7$?

• A. It is a constant polynomial
• B. It is a polynomial of degree $0$
• C. It is a monomial
• D. The number of zeroes of the polynomial is $0$

Answer 1

Answer: (A), (B), (C), (D)

The correct options are
A It is a constant polynomial
B It is a polynomial of degree $0$
C It is a monomial
D The number of zeroes of the polynomial is $0$

Since, for every value of $x$, value of $f\left(x\right)=7$ is constant
$\therefore$ it is a constant polynomial.

It can be written as $f\left(x\right)=7x^0$ having highest degree as $0.$
$\therefore$ It is a polynomial of degree $0.$

Since, it contains only one term, so it is a monomial.

To find the zeroes of polynomial, we need to put $f\left(x\right)=0$
But for every value of $x$, $f\left(x\right)=7$
$\therefore$ The number of zeroes of the given polynomial is $0.$