Coefficient is any of the factors with the sign of the term.
(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) 8x4y – 7x3yz + 4/3 x2yz2 - 2.5 xyz. What is the co-efficient of x2 in the term 4/3x2yz2?
The co-efficient of x 2 in the term 4/3 x2yz2 is 4/3 yz2
2) Write down the co-efficients of a, ab, and abc in the term 4a2b2c of the algebraic expression 4a 4b2c – 3a3b2c + 3/2 ab3c2.
The given algebraic expression has three terms, namely, 4a 4b2c – 3a3b2c and 3/2 ab3c2
Consider the term , 4a4b2 c
We have, 4a4b2 c = 4a . a3b2c.
∴ Co-efficient of a, in 4a4b2 c is 4 a3b2c.
Also, 4a4b2 c = 4a3 . ab . bc
∴ Co-efficient of ab in 4a4b2 c is 4a3b2c.
Again, 4a4b2 c = 4 . abc . a3b.
∴ Co-efficient of abc in 4a4b2 c is 4a3b. Introduction to Algebra