What is Coefficient in mathematics?

The coefficients are the numbers by which another number or symbol is multiplied. In a mathematical equation, a coefficient is a constant by which a variable is multiplied. Consider the following equations:

 7x² + 6x + 8

Here, x is a variable, and "7" and "6" are coefficients of x² and x respectively. Now consider another expression,

 7a² - 6xy + y + 8

Here is total 4 terms. In first term 7a²,  7 is coefficients of a². In the second term -6xy,  -6 is coefficients of xy and the third term y has no written coefficient but it is considered that it has 1 as coefficient. The last term 8  is a constant.

Take a look at following equation:

ax ³ + by ² = z

Here, a is coefficient of x ³ and b is coefficient of  y ². Variables are generally declared by the letter x,y,z etc.