Question

Which type of polynomial is \[5t - \sqrt 7 \]
A.Linear polynomial
B.Quadratic polynomial
C.Cubic polynomial
D.None of these

Answer 1

Hint: First, we will write the given polynomial. We will check that the variable has the power as a positive integer. If the power is a positive integer then it is a polynomial. If it is a polynomial, then we will check the degree of the polynomial. And we will get the answer.

Complete step-by-step answer:
The given polynomial is
 \[p(t) = 5t - \sqrt 7 \]
We can see that the power is one, which is a positive integer. Hence, \[5t - \sqrt 7 \] is a polynomial.
Now, we will check the degree of the polynomial.
The given polynomial is in t variable. The highest power of t is one. Hence, the degree of this polynomial is one. A polynomial of degree one is called linear polynomial.
Here, 5 is the coefficient of the variable t and \[ - \sqrt 7 \] is the constant term.
Hence, \[5t - \sqrt 7 \] is a linear polynomial.
Hence, option (A) is correct.

Note: The highest power of the variable is called degree of the polynomial. If the degree of the polynomial is two, then the polynomial is called quadratic polynomial. So, a polynomial of degree 2 is called a quadratic polynomial.
If the degree of the polynomial is 3 then the polynomial is called cubic polynomial.