Question

question
rewrite the following polynomial in standard form.
$x + 9 - 7x^3 - x^4$
answer attempt 1 out of 2
answer:

Explanation:

Step1: Recall standard form of polynomial

A polynomial in standard form is written in descending order of the exponents of the variable. So we need to arrange the terms of \(x + 9 - 7x^{3}-x^{4}\) from the highest power of \(x\) to the lowest.

Step2: Identify the exponents of each term

• The term \(-x^{4}\) has an exponent of 4.
• The term \(-7x^{3}\) has an exponent of 3.
• The term \(x\) (which is \(x^{1}\)) has an exponent of 1.
• The term \(9\) (which is \(9x^{0}\)) has an exponent of 0.

Step3: Arrange the terms in descending order

Using the exponents, we arrange the terms from highest exponent to lowest: \(-x^{4}-7x^{3}+x + 9\)

Answer:

\(-x^{4}-7x^{3}+x + 9\)