Question

The degree of $\left( {6{x^4} - 7{x^3} + {x^2} + 2x - 1} \right)$ is
A.4
B.6
C.3
D.5

Answer 1

Hint: In this question we observe the polynomial and examine the power of x, the highest power is our degree of the polynomial.


Complete step-by-step solution:

Given polynomial is $\left( {6{x^4} - 7{x^3} + {x^2} + 2x - 1} \right)$
It can be clearly observed that the first term $6{x^4}$ has the highest power of x i.e. 4.
Thus, the degree of the given polynomial is 4.
Hence, Option A. 4 is the correct answer.

Note: Polynomial: The expression which contains one or more terms with a non-zero coefficient is called a polynomial. A polynomial can have any number of terms.
The degree of any polynomial is the highest power of exponent in the polynomial.
The degree of any polynomial should be Integer.
Additional Information: It is a Fact-Based Question.