Question

Which among the following is the standard form of the polynomial $2x^5-7x^4+8x^6-3x^9$ ?

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

Answer 1

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

Given a polynomial expression $2x^5-7x^4+8x^6-3x^9$

The term $-3x^9$ has the highest power of the variable $x$. This term would be the first term when the polynomial $2x^5-7x^4+8x^6-3x^9$ is written in standard form.

The term $8x^6$ has the second highest power of the variable $x$. This term would be the second term when the polynomial $2x^5-7x^4+8x^6-3x^9$ is written in standard form.

The term $2x^5$ has the third highest power of the variable $x$. This term would be the third term when the polynomial $2x^5-7x^4+8x^6-3x^9$ is written in standard form.

The term $-7x^4$ has the fourth highest power of the variable $x$. This term would be the fourth term when the polynomial $2x^5-7x^4+8x^6-3x^9$ is written in standard form.

The standard form of the polynomial $2x^5-7x^4+8x^6-3x^9$ would be $-3x^9+8x^6+2x^5-7x^4$.

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