Question

question
rewrite the following polynomial in standard form.
\\(\frac{x^4}{7} + 3x - 7x^2 - 4\\)
answer attempt 1 out of 3
answer:

Explanation:

Step1: Recall standard form of polynomial

A polynomial in standard form is written with terms in descending order of exponents. So we need to arrange the terms of \(\frac{x^{4}}{7}+3x - 7x^{2}-4\) by the degree of \(x\) from highest to lowest.

Step2: Identify the degrees of each term

• The term \(\frac{x^{4}}{7}\) has degree \(4\).
• The term \(- 7x^{2}\) has degree \(2\).
• The term \(3x\) has degree \(1\).
• The term \(-4\) has degree \(0\).

Step3: Arrange terms in descending order of degrees

Arrange the terms from highest degree to lowest degree: \(\frac{x^{4}}{7}-7x^{2}+3x - 4\)

Answer:

\(\frac{x^{4}}{7}-7x^{2}+3x - 4\)