Question

if degree of 9xpower 5 y power2 z power r is 15 then ris​

Answer 1

SOLUTION

GIVEN

$\sf{The \: degree \: of \: \: 9 {x}^{5} {y}^{2} {z}^{r} \: \: is \: 15}$

TO DETERMINE

The value of r

CONCEPT TO BE IMPLEMENTED

Polynomial

Polynomial is a mathematical expression consisting of variables, constants that can be combined using mathematical operations addition, subtraction, multiplication and whole number exponentiation of variables

Degree of a Polynomial

Degree of a polynomial is defined as the highest power of its variable that appears with nonzero coefficient

When a polynomial has more than one variable, we need to find the degree by adding the exponents of each variable in each term.

EVALUATION

Here the given polynomial is

$\sf{9 {x}^{5} {y}^{2} {z}^{r} \: }$

From above we can conclude that

$\sf{The \: degree \: of \: \: 9 {x}^{5} {y}^{2} {z}^{r} \: \: }$

$= \sf{5 + 2 + r}$

$= \sf{7 + r}$

So by the given condition

$\sf{7 + r = 15}$

$\implies \: \sf{ r = 8}$

FINAL ANSWER

Hence the required value of r = 8

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Answer 2

SOLUTION

GIVEN

The degree of 9x⁵y²zr is 15

TO DETERMINE

The value of r

CONCEPT TO BE IMPLEMENTED

Polynomial

Polynomial is a mathematical expression consisting of variables, constants that can be combined using mathematical operations addition, subtraction, multiplication and whole number exponentiation of variables

Degree of a Polynomial

Degree of a polynomial is defined as the highest power of its variable that appears with nonzero coefficient

When a polynomial has more than one variable, we need to find the degree by adding the exponents of each variable in each term.

EVALUATION

Here the given polynomial is

9x⁵y²zr

From above we can conclude that

The degree of 9x⁵y²zr

= 5 + 2 + r

= 7 + r

So by the given condition

7 + r = 15

⟹r = 8

FINAL ANSWER

Hence the required value of r = 8

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