coefficient


Definition of Coefficient

  • The Coefficient of a term in an expression is the number which is multiplied by one or more variables or powers of variables in the term.

More about Coefficient

  • Coefficients can be positive or negative or zero.
  • While adding or subtracting polynomials, you just have to add or subtract the coefficients in the like terms.

Examples of Coefficient

  • 5x – 3: Here 5 is the coefficient of the linear term 5x.
  • 3xy2 - 7z: Here 3 and - 7 are the coefficients of the first and second terms respectively.

Solved Example on Coefficient

Find the coefficient of p in p3 + 2p2 - 5p - 1.
Choices:
A. 1
B. - 1
C. 2
D. - 5
Correct Answer: D
Solution:
Step 1: The coefficient of p in the expression p3 + 2p2 - 5p - 1 is – 5.

Related Terms for Coefficient

  • Polynomial
  • Variable
  • Power
  • Term
  • Expression