Question

4r⁴+ r³ s⁴ t³ - r² s³ t + t^6 +3 write the degree of polynomial​

Answer 1

Answer:

6

Step-by-step explanation:

the highest degree in the following polynomial is 6

so ,6 is the degree of polynomial

Answer 2

Answer:

10

Step-by-step explanation:

Given polynomial :4r⁴+ r³ s⁴ t³ - r² s³ t + t^6 +3

To find degree of this type of polynomials,

1.Find the degrees of all the monomials in the given polynomial.

2.choose the monomial which has highest degree.

3.That highest degree is the degree of that polynomial.

How to find the degree of each monomial:

degree of monomial  4r⁴ = sum of all the exponents of the variables

                                           =Here ,there is only one variable i.e, r and it's exponent is 4

                                           =So ,the degree of this monomial is 4.

degree of monomial r³ s⁴ t³  = sum of all the exponents of the variables

                                                 =3+4+3=10

degree of monomial  r² s³ t  =2+3+1 =6            (exponent of t is 1)

degree of monomial  t^6     =Here ,there is only one variable i.e, t and it's exponent is 6.

                                           =So ,the degree of this monomial is 6.

degree of monomial  3   =Here ,there is only no variable

                                        =Assume that there is variable x having exponent 0

                                         =So, the degree of that monomial is o

The monomial having highest degree is  r³ s⁴ t³ that is 10.So,the degree of polynomial 4r⁴+ r³ s⁴ t³ - r² s³ t + t^6 +3  is 10.