# Coefficient

Coefficient is any of the factors with the sign of the term.**Examples :**

**(i) Find the co-efficient, monomial 3xy**

co-efficient of y ---> 3x,

co-efficient of x ----> 3y

and the co-efficient of xy -----> 3.

(ii) Find the co-efficient of x ,y and xy,in the binomial -6xy + 8.

The co-efficient of x in the term -8xy ---> -8y,

the co-efficient of y ----> -8x

and the co-efficient of xy ----> -8.

**Write down the co-efficients of the expression :**

1) 8x

^{4}y – 7x

^{3}yz + 4/3 x

^{2}yz

^{2}- 2.5 xyz. What is the co-efficient of x

^{2}in the term 4/3x

^{2}yz

^{2}?

**Solution :**

The co-efficient of x

^{2}in the term 4/3 x

^{2}yz

^{2}is 4/3 yz

^{2}

2) Write down the co-efficients of a, ab, and abc in the term 4a

^{2}b

^{2}c of the algebraic expression 4a

^{ 4}b

^{2}c – 3a

^{3}b

^{2}c + 3/2 ab

^{3}c

^{2}.

**Solution :**

The given algebraic expression has three terms, namely, 4a

^{4}b

^{2}c – 3a

^{3}b

^{2}c and 3/2 ab

^{3}c

^{2}

Consider the term , 4a

^{4}b

^{2}c

We have, 4a

^{4}b

^{2}c = 4a . a

^{3}b

^{2}c.

∴ Co-efficient of a, in 4a

^{4}b

^{2}c is 4 a

^{3}b

^{2}c.

Also, 4a

^{4}b

^{2}c = 4a

^{3}. ab . bc

∴ Co-efficient of ab in 4a

^{4}b

^{2}c is 4a

^{3}b

^{2}c.

Again, 4a

^{4}b

^{2}c = 4 . abc . a

^{3}b.

∴ Co-efficient of abc in 4a

^{4}b

^{2}c is 4a

^{3}b.

**Introduction to Algebra**

• Addition of Literals

• Subtraction of Literals

• Multiplication of Literals

• Division of Literals

• Constants and Variables

• Coefficient

• Addition of Literals

• Subtraction of Literals

• Multiplication of Literals

• Division of Literals

• Constants and Variables

• Coefficient