Question

if degree if 9x5y2zr is 15 then what is r

Answer 1

The value of r = 8

Given :

The polynomial

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

To find :

The degree of the polynomial

Concept :

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

Solution :

Step 1 of 3 :

Write down the given polynomial

The given polynomial is

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

Step 2 of 3 :

Find the value of r

We know that when a polynomial has more than one variable, we need to find the degree by adding the exponents of each variable in each term

So degree of the polynomial

= 5 + 2 + r

= r + 7

Step 3 of 3 :

Find the value of r

By the given condition

r + 7 = 15

⇒ r = 15 - 7

⇒ r = 8

Hence the required value of r = 8

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