Definition of Numerical Coefficient
The constant multiplicative factors attached to the variables in an expression are known as Numerical Coefficient.
More About Numerical Coefficient
- The Numerical Coefficient is always written in front of the variable as shown in the expression given below:
a1x1 + a2x2 + ................anxn where a1,a2...................,an are numerical coefficients.
- Numerical Coefficient is more frequently referred as Coefficient.
Video Examples: Numerical Coefficients
Example of Numerical Coefficient
- The numerical coefficient for the term 10x4 is 10.
- The numerical coefficients for the expression 3x2 + x + 1 are 3, 1, and 1.
Solved Example on Numerical Coefficient
Ques: Find the numerical co-efficient in the product of (24a2b2c2), ( - 1/3 ab2c), and (82a2b2c)
A. - 656
C. - 5904
Correct Answer: A
Step 1: Given terms are (24a2b2c2), ( - 1/3 ab2c), and (82a2b2c)
Step 2: Product of the given terms is:
(24a2b2c2)x -1/3 ab2c x 82a2b2c
= 24 x -1/3 x 82 (a2b2c2 × ab2c × a2b2c) [Use Associative and Commutative properties.]
Step 3: = (8 × -1 × 82(a2+1+2b2+2+2c2+1+1) [Simplifying.]
Step 4: = (- 656) (a5b6c4) [Simplifying.]
Step 5 :Hence, the numerical coefficient in the product is - 656.