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
4y – 7x
3yz + 4/3 x
2yz
2 - 2.5 xyz. What is the co-efficient of x
2 in the term 4/3x
2yz
2?
Solution :
The co-efficient of x
2 in the term 4/3 x
2yz
2 is 4/3 yz
2
2) Write down the co-efficients of a, ab, and abc in the term 4a
2b
2c of the algebraic expression 4a
4b
2c – 3a
3b
2c + 3/2 ab
3c
2.
Solution :
The given algebraic expression has three terms, namely, 4a
4b
2c – 3a
3b
2c and 3/2 ab
3c
2
Consider the term , 4a
4b
2 c
We have, 4a
4b
2 c = 4a . a
3b
2c.
∴ Co-efficient of a, in 4a
4b
2 c is 4 a
3b
2c.
Also, 4a
4b
2 c = 4a
3 . ab . bc
∴ Co-efficient of ab in 4a
4b
2 c is 4a
3b
2c.
Again, 4a
4b
2 c = 4 . abc . a
3b.
∴ Co-efficient of abc in 4a
4b
2 c is 4a
3b.
Introduction to Algebra
• Addition of Literals
• Subtraction of Literals
• Multiplication of Literals
• Division of Literals
• Constants and Variables
• Coefficient
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