numerical coefficient


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:
    , where are numerical coefficients.
  • Numerical Coefficient is more frequently referred as Coefficient.

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

Find the numerical co-efficient in the product of (24a2b2c2), ( ab2c), and (82a2b2c).
Choices:
A. - 656
B. 656ab2c
C. - 5904
D. 656
Correct Answer: A
Solution:
Step 1: Given terms are (24a2b2c2), ( ab2c), and (82a2b2c).
Step 2: Product of the given terms is:
24a2b2c2 × ab2c × 82a2b2c
= (24 × × 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.

Related Terms for Numerical Coefficient

  • Coefficient
  • Expression
  • Factor
  • Term