Question

Write $6y^3-4y^8+2y^5-7y^9$ in standard form.

• A. $-7y^9-4y^8+2y^5+6y^3$
• B. $-7y^9+6y^3-4y^8+2y^5$
• C. $6y^3+2y^5-4y^8-7y^9$
• D. $2y^5-4y^8+6y^3-7y^9$

Answer 1

The correct option is A $-7y^9-4y^8+2y^5+6y^3$

$\underset{–}{\text{Standard Form of a Polynomial}:}$
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 $6y^3-4y^8+2y^5-7y^9$

The highest exponent of this polynomial is $9$ and the corresponding term is $-7y^9$.

The second highest exponent is $8$ and the corresponding term is $-4y^8$.

The third highest exponent is $5$ and the corresponding term is $2y^5$.

The fourth highest exponent is $3$ and the corresponding term is $6y^3$.

Now, arranging the exponents in descending order, we get the standard form of polynomial as:
$-7y^9-4y^8+2y^5+6y^3$

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