# FIND THE NUMERICAL COEFFICIENT OF THE TERMS

What is coefficient ?

The value that appears in front of the variable is coefficient.

For example,

6x2 + 3x

The coefficient of xis 6.

Identify the numerical coefficients of terms (other than constants) in the following expressions :

Problem 1 :

5 – 3t2

Solution :

5 – 3t2

Numerical coefficient of t2 is -3.

5 is a constant term.

Problem 2 :

1 + t + t2 + t3

Solution :

1 + t + t2 + t3

Numerical coefficient of t is1.

Numerical coefficient of t2 is1.

Numerical coefficient of t3 is1.

1 is a constant term.

Problem 3 :

x + 2xy + 3y

Solution :

x + 2xy + 3y

Numerical coefficient of x is1.

Numerical coefficient of xy is 2.

Numerical coefficient of y is 3.

0 is a constant term.

Problem 4 :

100m + 1000n

Solution :

100m + 1000n

Numerical coefficient of m is100.

Numerical coefficient of n is1000.

0 is a constant term.

Problem 5 :

-p2q2 + 7pq

Solution :

-p2q2 + 7pq

Numerical coefficient of p2q2 is -1.

Numerical coefficient of pq is 7.

0 is a constant term.

Problem 6 :

1.2 a + 0.8 b

Solution :

1.2 a + 0.8 b

Numerical coefficient of a is1.2.

Numerical coefficient of b is 0.8.

0 is a constant term.

Problem 7 :

3.14 r2

Solution :

3.14 r2

Numerical coefficient of r2 is 3.14.

0 is a constant term.

Problem 8 :

2(l + b)

Solution :

= 2(l + b)

= 2l + 2b

Numerical coefficient of l is 2.

Numerical coefficient of b is 2.

0 is a constant term.

Problem 9 :

0.1 y + 0.01 y2

Solution :

0.1 y + 0.01 y2

Numerical coefficient of y is 0.1.

Numerical coefficient of y2 is 0.01.

0 is a constant term.

Identify terms which contain x and give the coefficients of x.

Problem 1 :

y2x + y

Solution :

y2x + y

y2x is the term containing x.

Coefficient of x is y2.

Problem 2 :

13y2 – 8yx

Solution :

13y2 – 8yx

-8yx is that term containing x.

Coefficient of x is -8y.

Problem 3 :

x + y + 2

Solution :

x + y + 2

x is that term containing x.

Coefficient of x is 1.

Problem 4 :

5 + z + zx

Solution :

Given, 5 + z + zx

zx is that term containing x.

Coefficient of x is z.

Problem 5 :

1 + x + xy

Solution :

1 + x + xy

x is that term containing x.

xy is that term containing x.

Coefficient of x is 1.

Coefficient of x is y.

Problem 6 :

12xy2 + 25

Solution :

12xy2 + 25

12xy2 is that term containing x.

Coefficient of x is12y2.

Problem 7 :

7x + xy2

Solution :

7x + xy2

7x is that term containing x.

xy2 is that term containing x.

Coefficient of x is 7.

Coefficient of x is y2.

Identify terms which contain y2 and give the coefficients of y2.

Problem 1 :

8 – xy2

Solution :

Given, 8 – xy2

-xy2 is that term containing y2.

Coefficient of y2 is -x.

Problem 2 :

5y2 + 7x

Solution :

Given, 5y2 + 7x

5y2 is that term containing y2.

Coefficient of y2 is 5.

Problem 3 :

2x2y – 15xy2 + 7y2

Solution :

Given, 2x2y – 15xy2 + 7y2

– 15xy2 is that term containing y2.

7y2 is that term containing y2.

Coefficient of y2 is -15x.

Coefficient of y2 is 7.

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