Question

Which of the following expressions are polynomials? Which are not? Give reasons.1)
$4 x ^{2} + 5x - 2$
$2)y ^{2} - 8$
$5$
$2x ^{2} + \frac{3}{x} - 5$
$\sqrt{3}x ^{2} + 5y$
$\frac{1}{x + 1}$
$\sqrt{x}$
$3xyz$


​

Answer 1

Step-by-step explanation:

4x² + 5x - 2

➡ Polynomial

y² - 8

➡polynomial

2x² - 3x + 5

➡ polynomial

√3x² + 5y

➡ Not - polynomial

Note -Power should be in positive to be polynomial

Answer 2

$\huge\bold\pink\bigstar{Answer}$

Here power of the equation is 2,1 and 0

Since all powers are whole number, it is a polynomial.

Now, since there is only one variable x,

it is a polynomial in one variable.

(ii)y

2

Here power of the equation is 2

Since all powers are whole number, it is a polynomial.

Now, since there is only one variable y,

it is a polynomial in one variable.

(iii)5=5x

0

Here power of the equation is 0

Now, since there is only no variable or power of the variable is zero which is a whole number

it is a polynomial and known as constant polynomial.

(iv)2x

2

+

x

3

−5=2x

2

+3x

−1

−5x

0

Here power of the equation is 2,−1 and 0

Since −1 is not a whole number, it is not a polynomial.