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 zero of the polynomial in each of the following cases
$q(y)=\pi y+3.14$
Find the zero of the polynomial in each of the following cases
$q(y)=\pi y+3.14$
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 $p=r$
Give possible expressions for the length and breadth of the rectangle whose area is given by $4 a^{2}+4 a-3$
Give possible expressions for the length and breadth of the rectangle whose area is given by $4 a^{2}+4 a-3$
By remainder Theorem find the remainder, when $p(x)$ is divided by $g(x),$ where
$p(x)=4 x^{3}-12 x^{2}+14 x-3, g(x)=2 x-1$
By remainder Theorem find the remainder, when $p(x)$ is divided by $g(x),$ where
$p(x)=4 x^{3}-12 x^{2}+14 x-3, g(x)=2 x-1$
Evaluate using suitable identities : $(998)^{3}$
Evaluate using suitable identities : $(998)^{3}$