please show the method of these questions I copied it but I don't know their method
Answers
Step-by-step explanation:
Degree of the polynomial:-
The highest degree of all the variables present in the given polynomial is the degree of the polynomial.
1)the highest degree is 10
so, the degree is 10
2)the highest degree is 20
so,degree is 20
3)the degrees of all terms are
2+1=3 and 2 and 2+5=7
the highest degree is 7
so the degree is 7
4)the degrees of terms are
3 and 2+3=5 and 1+5=6
highest degree=6
so the degree is 6
Let's see what a degree of a polynomial is first,
Degree of a polynomial
In mathematics, the degree of a polynomial, denoted, 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.
Basically it's just the highest exponential value of an expression.
Now let's see the answers,
1. In this first expression the largest term (term with largest exponent) is x¹⁰
Therefore the degree is
10
2. Similarly in the second expression the largest term, The exponent of x is 20
Therefore the degree is
20
3. In the third expression the largest term is x²y⁵
If we add the values of exponents we get, 2 + 5 = 7
Therefore the degree is
7
4. Similarly in the fourth expression,. the largest term is 8y³z³
And after adding the exponential values, we get, 3 + 3 = 6
Therefore the degree is