Question

is x5+y6+z7+6xyz a polynomial of degree 5? why​

Answer 1

Answer:

NO

${x}^{5} + {y}^{6} + {z}^{7} + 6xyz$

is a polynomial of degree 7 because highest power is 7

hope it helps.......

Answer 2

The given polynomial is:

$x^5$ + $y^6$ + $z^7$ + 6xyz

We have to find, the given polynomial is degree 5 or not, why?

Solution:

The given polynomial is:

$x^5$ + $y^6$ + $z^7$ + 6xyz

The highest degree of $x^5$ = 5

The highest degree of $y^6$ = 6

The highest degree of $z^7$  = 7 and

The highest degree of xyz  = 3

The highest power of the given polynomial = 7

∴ The $x^5$ + $y^6$ + $z^7$ + 6xyz polynomial = 7 degree

Thus, no, the given polynomial is "degree 7".