Question

What would be the third term when the polynomial expression $4a^2+3a-7a^8$ is written in standard form?

• A. $4a^2$
• B. $-7a^8$
• C. $3a$
• D. $-7a^8+4a^2+3a$

Answer 1

The correct option is C $3a$

We are given with a polynomial expression $4a^2+3a-7a^8$.

The term $-7a^8$ has the highest exponent of the variable $x$, i.e., $8$. This term would be the first term in the standard form of the polynomial $4a^2+3a-7a^8$.

The term $4a^2$ has the second highest exponent of the variable $x$, i.e., $2$. This term would be the second term in the standard form of the polynomial $4a^2+3a-7a^8$.


The term $3a$ has the third highest exponent of the variable $x$, i.e., $1$. This term would be the third term in the standard form of the polynomial $4a^2+3a-7a^8$.


The standard form of the polynomial expression $4a^2+3a-7a^8$ can be shown as:
$-7a^8+4a^2+3a$


In the standard form $-7a^8+4a^2+3a$ of the polynomial expression $4a^2+3a-7a^8$ ,
First term $=-7a^8$
Second term $=4a^2$
Third term $=3a$

The third term when the polynomial expression $4a^2+3a-7a^8$ is written in standard form would be $3a$.

Therefore, option (c.) is the correct answer.