Write the coefficients of x^2 in each of the following:

 (i) 2+x2+x

Solution:

The equation 2+x2+x can be written as 2+(1)x2+x

We know that, coefficient is the number which multiplies the variable.

Here, the number that multiplies the variable x2 is 1

, the coefficients of x2 in 2+x2+x is 1.

(ii) 2–x2+x3

Solution:

The equation 2–x2+x3 can be written as 2+(–1)x2+x3

We know that, coefficient is the number (along with its sign, i.e., – or +) which multiplies the variable.

Here, the number that multiplies the variable x2 is -1

the coefficients of x2 in 2–x2+x3 is -1.

(iii) (π/2)x2+x

Solution:

The equation (π/2)x2 +x can be written as (π/2)x2 + x

We know that, coefficient is the number (along with its sign, i.e., – or +) which multiplies the variable.

Here, the number that multiplies the variable x2 is π/2.

the coefficients of x2 in (π/2)x2 +x is π/2.

(iii)√2x-1

Solution:

The equation √2x-1 can be written as 0x2+√2x-1 [Since 0x2 is 0]

We know that, coefficient is the number (along with its sign, i.e., – or +) which multiplies the variable.

Here, the number that multiplies the variable x2is 0

, the coefficients of x2 in √2x-1 is 0.