Question

Coefficient of $x$ in $-9x{y}^{2}z$ is

• A. $9yz$
• B. $-9yz$
• C. $9y^{2}z$
• D. $-9y^{2}z$

Answer 1

The correct option is D

$-9y^{2}z$

The correct option is D.

The explanation for the correct option:

The multiplicative factor in a term of an algebraic expression or polynomial is called the “coefficient”.

A coefficient is generally a constant, but maybe a variable or an expression also.

For example: In the polynomial $7x^2-2ax+3$, the coefficient of $x^2$ is $7$, the coefficient of $x$ is $-2a$ and $3$ is the constant coefficient.

The given expression $-9x{y}^{2}z$ can be written as $\left(-9y^{2}z\right)x$.

Here the multiplicative factor of $x$ is $-9y^{2}z$.

Therefore, the coefficient of $x$ in $-9x{y}^{2}z$ is $-9y^{2}z$.

Hence, the correct option is (D).