Which of following expressions are polynomials in one variable and which are not ? St

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2. Polynomials

medium

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

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

Option A

Option B

Option C

Option D

Solution

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.

Standard 9

Mathematics

With the help of the remainder theorem, find the remainder when the polynomial $x^{3}+x^{2}-26 x+24$ is divided by each of the following divisors

$x-6$

easy

From the following polynomials find out which of them has $(x+1)$ as a factor

$x^{3}-2 x^{2}-5 x+6$

medium

Find the zero of the polynomial in each of the following cases

$q(m)=0.3 m-0.15$

easy

Using suitable identity, evaluate the following:

$101 \times 102$

medium

The factorisation of $4 x^{2}+8 x+3$ is

easy

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

Solution

Similar Questions

With the help of the remainder theorem, find the remainder when the polynomial $x^{3}+x^{2}-26 x+24$ is divided by each of the following divisors $x-6$

From the following polynomials find out which of them has $(x+1)$ as a factor $x^{3}-2 x^{2}-5 x+6$

Find the zero of the polynomial in each of the following cases $q(m)=0.3 m-0.15$

Using suitable identity, evaluate the following: $101 \times 102$

The factorisation of $4 x^{2}+8 x+3$ is

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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

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

With the help of the remainder theorem, find the remainder when the polynomial $x^{3}+x^{2}-26 x+24$ is divided by each of the following divisors

$x-6$

From the following polynomials find out which of them has $(x+1)$ as a factor

$x^{3}-2 x^{2}-5 x+6$

Find the zero of the polynomial in each of the following cases

$q(m)=0.3 m-0.15$

Using suitable identity, evaluate the following:

$101 \times 102$