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

$x^{2}-8 x+15$

Option A

Option B

Option C

Option D

Solution

Given expression $x^{2}-8 x+15$ 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

Factorise

$x^{3}-8 y^{3}-27-18 x y$

hard

Find the following products:

$\left(\frac{x}{2}+2 y\right)\left(\frac{x^{2}}{4}-x y+4 y^{2}\right)$

easy

Without actually calculating the cubes, find the value of each of the following

$(21)^{3}+(15)^{3}+(-36)^{3}$

hard

What should be added to $p(x)=x^{2}-8 x+10$ so that the resulting polynomial is divisible by $x-3 ?$

medium

Find the zeroes of the polynomial in each of the following:

$g(x)=3-6 x$

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 $x^{2}-8 x+15$

Solution

Similar Questions

Factorise $x^{3}-8 y^{3}-27-18 x y$

Find the following products: $\left(\frac{x}{2}+2 y\right)\left(\frac{x^{2}}{4}-x y+4 y^{2}\right)$

Without actually calculating the cubes, find the value of each of the following $(21)^{3}+(15)^{3}+(-36)^{3}$

What should be added to $p(x)=x^{2}-8 x+10$ so that the resulting polynomial is divisible by $x-3 ?$

Find the zeroes of the polynomial in each of the following: $g(x)=3-6 x$

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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

$x^{2}-8 x+15$

Factorise

$x^{3}-8 y^{3}-27-18 x y$

Find the following products:

$\left(\frac{x}{2}+2 y\right)\left(\frac{x^{2}}{4}-x y+4 y^{2}\right)$

Without actually calculating the cubes, find the value of each of the following

$(21)^{3}+(15)^{3}+(-36)^{3}$

Find the zeroes of the polynomial in each of the following:

$g(x)=3-6 x$