Which of the following expressions are polynomials in one variable and which are not $?$ State reason for your answer. If the given expression is a polynomial, state whether it is a polynomial in one variable or not
$x^{2}+2 x y+y^{2}$
Which of the following expressions are polynomials in one variable and which are not $?$ State reason for your answer. If the given expression is a polynomial, state whether it is a polynomial in one variable or not
$x^{2}+2 x y+y^{2}$
Given expression is a polynomial because the total exponent of the variable in each of its terms is $2$ which is a whole number. But, since the given expression is expressed with two variables $x$ and $y$ the polynomial is not a polynomial in one variable.
Similar Questions
Find the quotient and the remainder when $2 x^{2}-7 x-15$ is divided by
$x-2$
Find the quotient and the remainder when $2 x^{2}-7 x-15$ is divided by
$x-2$
Factorise
$9 x^{2}-21 x y+10 y^{2}$
Factorise
$9 x^{2}-21 x y+10 y^{2}$
If both $x-2$ and $x-\frac{1}{2}$ are factors of $p x^{2}+5 x+r,$ show that $p=r$
If both $x-2$ and $x-\frac{1}{2}$ are factors of $p x^{2}+5 x+r,$ show that $p=r$
Factorise $x^{2}-7 x+12$ by using the factor theorem.
Factorise $x^{2}-7 x+12$ by using the factor theorem.
Factorise :
$6 x^{2}+7 x-3$
Factorise :
$6 x^{2}+7 x-3$