Question

please answer the question


i am unable to understand how to solve this please tell me how to find degree please teach me​

Answer 1

Answer:

1. 3
2. 2
3. 1
4. 0

The degree is the value of the greatest exponent of any expression (except the constant ) in the polynomial. To find the degree all that you have to do is find the largest exponent in the polynomial.

Note: Ignore coefficients - coefficients have nothing to do with the degree of a polynomial

Answer 2

4.

(i) 3 is the degree of the polynomial.

The highest power of the variable is 3, thus the degree is 3.

(ii) 2 is the degree of the polynomial.

The highest power of the variable is 2, thus the degree is 2.

(iii) 1 is the degree of the polynomial.

The highest power of the variable is 1, thus the degree is 1 ($5t+\sqrt{7}=5t^1+\sqrt{7}$)

(iv) 0 is the degree of the polynomial.

As we know that the degree of any polynomial is calculated based on on the the value of highest exponent of the variable. In the given question we can see there is no variable and and a constant that is root 7 is given.

For all constants the degree is always zero.i.e.$x^0=1$.

Therefore the degree for the polynomial root 7 is "zero".

More information:-

For polynomials in two or more variables, the degree of a term is the sum of the exponents of the variables in the term; the degree (sometimes called the total degree) of the polynomial is again the maximum of the degrees of all terms in the polynomial.

Or consider this:

In mathematics, the degree of a polynomial is the highest of the degrees of the polynomial's monomials with non-zero coefficients. The degree of a term is the sum of the exponents of the variables that appear in it, and thus is a non-negative integer.