Question

rewrite polynomials in standard form
score: 0/30 penalty: 1 off
question
rewrite the following polynomial in standard form.
$6x^3 - 9 - 6x$
answer attempt 1 out of 2
answer:

Explanation:

Step1: Recall standard form of polynomial

A polynomial in standard form is written with terms in descending order of degree. The degree of a term is the exponent of the variable.

Step2: Identify degrees of each term

• For \(6x^3\), the degree is 3.
• For \(-9\), the degree is 0 (since it's a constant term, \(x^0 = 1\), so \(-9 = -9x^0\)).
• For \(-6x\), the degree is 1.

Step3: Arrange terms in descending order of degree

Arrange the terms from highest degree to lowest degree. So we start with the term of degree 3 (\(6x^3\)), then the term of degree 1 (\(-6x\)), then the term of degree 0 (\(-9\)).

Putting it all together, the polynomial \(6x^3 - 9 - 6x\) in standard form is \(6x^3 - 6x - 9\).

Answer:

\(6x^3 - 6x - 9\)