Question

What is the numerical coefficient of ${}^{\prime }{z}^{\prime }$ in the given algebraic expression $z^4-6z^3+8z+7$?

• A. 1
• B. 7
• C. 8

Answer 1

The correct option is C 8

$\underset{–}{ConceptInvolved:}$

Numerical coefficient is a number that is being multiplied by an unknown(s), in one particular term.

$\underset{–}{Method:}$

$z^4-6z^3+8z+7$ has first term as $z^4$. This term involves $z$ raised to power $4$. Here the numerical coefficient of $z^4$ is $1$.

$z^4-6z^3+8z+7$ has second term as $-6z^3$. This term involves $z$ raised to power $3$. Here the numerical coefficient of $z^3$ is $-6$.

$z^4-6z^3+8z+7$ has third term as ${}^{\prime }8z^{\prime }$. This is the only term involving ${}^{\prime }{z}^{\prime }$ raised to power $1$ in the given algebraic expression.

The numerical coefficient of ${}^{\prime }{z}^{\prime }$ would be 8 in the given algebraic expression.