Question

What would be the last term of the polynomial expression $7x^2-x^3+x-8x^6+4x^5$ when written in standard form?

• A. $-8x^6$
• B. $-x$
• C. $x$
• D. $4x^5$

Answer 1

The correct option is C $x$

$\underset{–}{\text{Standard Form of a Polynomial}:}$
A polynomial is said to be in its standard form, if it is expressed in such a way that the term with the highest degree is placed first, followed by the term which has the next highest degree, and so on.

We are given with a polynomial expression $7x^2-x^3+x-8x^6+4x^5$.

The highest exponent of this polynomial is $6$ and the corresponding term is $-8x^6$.

The second highest exponent is $5$ and the corresponding term is $4x^5$.

The third highest exponent is $3$ and the corresponding term is $-x^3$.

The fourth highest exponent is $2$ and the corresponding term is $7x^2$.

The fifth highest exponent is $1$ and the corresponding term is $x$.

The polynomial expression $7x^2-x^3+x-8x^6+4x^5$ when written in standard form would be:

$-8x^6+4x^5-x^3+7x^2+x$

The last term of the polynomial expression $7x^2-x^3+x-8x^6+4x^5$ (i.e., fifth term) when written in standard form would be $x$. Therefore, option (c.) is the correct answer.