NUMERICAL COFFICIENT

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)

    Choices:
    A. - 656
    B. 656ab2c
    C. - 5904
    D. 656
    Correct Answer: A

Solution:

    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.