Question

What is the coefficient of $z^{3$ in $-7x y^{2} z^{3} a^{2} b^{2}$?}

• A. $-7xy^{2}$
• B. $7$
• C. $-7xy^{2}a^{2}b^{2}$
• D. $-1$

Hint:

To find the coefficient of a power, remove that variable’s power from the term; what remains is the coefficient.

Answer 1

The Correct Option is C

“Coefficient of $z^{3}$” means the factor multiplying $z^{3}$ once the expression is written as $(\text{coefficient})\cdot z^{3}$. Given term: $-7x y^{2} z^{3} a^{2} b^{2} = \big(-7x y^{2} a^{2} b^{2}\big)\, z^{3}$. Hence the coefficient is $-7xy^{2}a^{2}b^{2}$. \[ \boxed{-7xy^{2}a^{2}b^{2}} \]