Question

which polynomials are in standard form? choose all answers that apply: a 10 - n b 5n + 3n^3 - 1 c n + 4n^2 - 7n^3 d none of the above

Explanation:

Step1: Recall standard - form of polynomial

A polynomial in one variable is in standard form when its terms are written in descending order of exponents.

Step2: Analyze option A

In the polynomial \(10 - n= - n+10\), the term \(-n\) has degree 1 and the constant term 10 has degree 0. It is in standard form since the terms are in descending - order of exponents.

Step3: Analyze option B

In the polynomial \(5n + 3n^{3}-1\), the terms are not in descending order of exponents. The correct standard - form would be \(3n^{3}+5n - 1\).

Step4: Analyze option C

In the polynomial \(n + 4n^{2}-7n^{3}\), the terms are not in descending order of exponents. The correct standard - form would be \(-7n^{3}+4n^{2}+n\).

Answer:

A. \(10 - n\)