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#### paulmdrdo

##### Active member

- May 13, 2013

- 386

I know x is 2nd degree, y is 4th degree, z is 2nd degree.

but I don't know how to determine the degree of the combinations of the unknowns. please help. thanks!

- Thread starter paulmdrdo
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- Thread starter
- #1

- May 13, 2013

- 386

I know x is 2nd degree, y is 4th degree, z is 2nd degree.

but I don't know how to determine the degree of the combinations of the unknowns. please help. thanks!

- Jan 29, 2012

- 1,151

(If you had said "degree of xz" then I might stretch a point and seeing that term "xz" and "[tex]z^2x= z(xz)[/tex]" say that the polynomial is of degree one in "xz".)

- Feb 13, 2012

- 1,704

It seems the degree of x to be 1... or may be the expression is erroneous?...

I know x is 2nd degree, y is 4th degree, z is 2nd degree.

but I don't know how to determine the degree of the combinations of the unknowns. please help. thanks!

Kind regards

$\chi$ $\sigma$

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- May 13, 2013

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- Jan 30, 2012

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A polynomial can either be zero or can be written as the sum of a finite number of non-zero terms. Each term consists of the product of a number—called the coefficient of the term—and a finite number of indeterminates, raised to integer powers. The exponent on an indeterminate in a term is called the degree of that indeterminate in that term; the degree of the term is the sum of the degrees of the indeterminates in that term, and the degree of a polynomial is the largest degree of any one term with nonzero coefficient.

My guess is that the degree of the equation in $xz$ is the degree of that equation where $y$ is considered a constant (i.e., a coefficient) rather than a variable (indeterminate). Then the degree of the right-hand size $y^4$ is 0, and the term with the highest degree is $z^2x$; its degree is 3.