Question Rewrite the following polynomial in standard form. \[ 1-5 x-\frac{1}{3} x^{3} \] Answer Attempt 1 out of 2 Answer:

To rewrite the polynomial \( 1 - 5x - \frac{1}{3}x^3 \) in standard form, we arrange the terms from the highest degree to the lowest degree. The term with the highest degree is \(-\frac{1}{3}x^3\), followed by \(-5x\), and the constant term \(1\). Thus, the standard form is: \[ -\frac{1}{3}x^3 - 5x + 1 \] This order helps us easily identify the leading term and aids in various computations such as finding roots or analyzing the behavior of the polynomial. Did you know that the standard form is not just for polynomials? In many mathematical contexts, putting expressions in a specific order helps with simplifying, integrating, or even graphing! Think of it as decluttering your workspace - everything’s in its place!