Classify the following polynomials as polynomials in one-variable, two variable x2 xy 7y2

Classify the following polynomials as polynomials in one-variable, two variables etc:

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

`x^2-xy+7y^2` is a polynomial in two variables ,xy.

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Page 2

Classify the following polynomials as polynomials in one-variable, two variables etc:

`x^2-2tx+7t^2-x+t`

`x^2-2tx+7t^2-x+t`  is a polynomial in 2 variables ,xt

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Page 3

Classify the following polynomials as polynomials in one-variable, two variables etc:

`t^3_3t^2+4t-5`

`t^3_3t^2+4t-5` is a polynomial in 1 variables t .

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Page 4

Classify the following polynomials as polynomials in one-variable, two variables etc:

`xy+yx+zx`

`xy+yx+zx`  is a polynomial in 3 variables `x, y, z.`

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Text Solution

Solution : (i) `x^2-x y+7y^2`:It is a two variable polynomial.`(x` and `y)`<br>(ii) `x^2-2t x+7t^2-x+t`:It is a two variable polynomial.`(x` and `t)`<br>(iii) `t^3-3t^2+4t-5`:It is a one variable polynomial.`(t)`<br>(iv) `x y+y z+z x`:It is a three variable polynomial.`(x`, `y` and `z)`

Classify the following polynomials as polynomials in one variable, two variables etc. i x2 xy + 7y2 ii x2 2tx + 7t2 x + t iii t2 3t2 + 4t 5 iv xy + yz + zx

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