Question

THINK, DISCUSS AND WRITE

Which of the following expressions are polynomials ? Which are not ? Give rea
( 4x² + 5x - 2
(ii) y2 - 8
(ii) 5
2x^2+3/x-5
root 3x^2+5y
1/x+1(x not equal to 0)
root x
3 xyz​

Answer 1

Answer:

ANSWER

(i)4x

2

+5x−2=4x

2

+5x

1

−2x

0

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.