Question

Which of the following expressions are polynomials ? Which are not? Give reasons. 3 (0) 4x2 + 5x - 2 (i) y2-8 (iii) 5 (iv) 2x² + 2-5 X (v) 73x? +5y (vi) 1+ ( +1 (x +0) (vii) √x

(viii) 3 xyz х​

Answer 1

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.

Answer 2

Answer:

This answer right point = (a) , (c), or (e) answer is yes