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

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2. Polynomials

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

$\pi x^{2}-\sqrt{3} x+11$

Option A

Option B

Option C

Option D

Solution

Given expression $\pi x^{2}-\sqrt{3} x+11$ is a polynomial because the exponent of variable $x$ in each of its terms is an integer, viz., $2,1$ and $0$ respectively. The given polynomial is a polynomial in one variable $x$.

Standard 9

Mathematics

Evaluate

$153 \times 147$

easy

Factorise :

$3 x^{3}-x^{2}-3 x+1$

hard

Verify whether the following are True or False:

$\frac{-4}{5}$ is a zero of $4-5 y$

easy

Simplify $(2 x-5 y)^{3}-(2 x+5 y)^{3}$

medium

Factorise each of the following

$27 x^{3}-8 y^{3}-54 x^{2} y+36 x y^{2}$

hard

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 $\pi x^{2}-\sqrt{3} x+11$

Solution

Similar Questions

Evaluate $153 \times 147$

Factorise : $3 x^{3}-x^{2}-3 x+1$

Verify whether the following are True or False: $\frac{-4}{5}$ is a zero of $4-5 y$

Simplify $(2 x-5 y)^{3}-(2 x+5 y)^{3}$

Factorise each of the following $27 x^{3}-8 y^{3}-54 x^{2} y+36 x y^{2}$

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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

$\pi x^{2}-\sqrt{3} x+11$

Evaluate

$153 \times 147$

Factorise :

$3 x^{3}-x^{2}-3 x+1$

Verify whether the following are True or False:

$\frac{-4}{5}$ is a zero of $4-5 y$

Factorise each of the following

$27 x^{3}-8 y^{3}-54 x^{2} y+36 x y^{2}$