Write the coefficients of x² in each of the following:
i) 2 + x² + x    ii) 2 - x² + x³    iii) (π/2)x² + x
iv) √2x - 1

Solution:

A coefficient refers to a number or quantity placed with a variable. It is usually an integer that is multiplied by the variable next to it. 

i) 2 + x² + x

Coefficient of x² is 1.

ii) 2 - x² + x³

Coefficient of x² is -1.

iii) (π/2)x² + x

Coefficient of x² is π/2.

iv) √2x - 1

There is no  x² term in the given expression. We can rewrite it as 0x² + √2x - 1 

Therefore, the coefficient of x² = 0, as x² doesn't exist.

☛ Check: Class 9 Maths NCERT Solutions Chapter 2

Video Solution:

Write the coefficients of x² in each of the following: (i) 2 + x² + x (ii) 2 - x² + x³ (iii) (π/2)x² + x (iv) √2x - 1

NCERT Solutions Class 9 Maths Chapter 2 Exercise 2.1 Question 2:

Summary:

The coefficients of x² in each of the following equations 2 + x²+ x, 2 - x² + x³, (π/2) x² + x, and √2x - 1 are 1, -1, π/2, and 0 respectively.

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