Question

The degree of the polynomial x+y^2-7xy-6w^kz^2 is 10. What is the value of k?

3
5
8
10

Answer 1

the value of k is 8 hope i was helpful

Answer 2

3rd option is correct.

Explanation:

Given Polynomial,

`x+y^2-7xy-6x^kz^2`

Also. Degree of given Polynomial is 10.

Degree of the Polynomial is the highest power the of the variable part of one of the term.

Here,

Power of variable part of term x = 1

Power of variable part of term y² = 2

Power of variable part of term xy = 1 + 1 = 2

Power of variable part of term
`w^kz^2` = k + 2

Since k + 2 is greater than all other power of the terms and highest power must be equal to 10.

So,

k + 2 = 10

k = 10 - 2

k = 8

Therefore, 3rd option is correct.