Question

what's the degree in 7x³y⁴-8x²y³z⁴+5x⁴y³z​

Answer 1

HEY FRIEND THIS IS THE ANSWER TO YOUR QUESTION.

PLEASE FOLLOW ME MATE

Answer 2

Answer:

Required degree is 9.

Explanation:

Given,

$7 {x}^{3} {y}^{4} - 8 {x}^{2} {y}^{3} {z}^{4} + 5 {x}^{4} {y}^{3} z$

Here we want to find degree of these polynomial.

But now question is how can we find degree of any polynomial.

Basically highest power of a polynomial is always degree of that polynomial.

By some example,we can understand this concept easily.

Example 1: Let ${x}^{2} + 5x + 2$

be a polynomial.

Now highest power of this polynomial is 2.

So, degree of this polynomial is 2.

Example 2:

Let ${x}^{2} y + xy + 2$

be a polynomial.

Now highest power of this polynomial is (2+1)=3

So, degree of this polynomial is 3.

Now in the given polynomial $7 {x}^{3} {y}^{4} - 8 {x}^{2} {y}^{3} {z}^{4} + 5 {x}^{4} {y}^{3} z$

highest power is (2+3+4)=9

So, degree of this polynomial is 9.