Chapter SH, Problem 7.4.16EP

To determine

The polynomial in ascending order of the powers so x.

Answer to Problem 7.4.16EP

  $-b^3{x}^0-2b{x}^1+4x^2-5b{x}^3$

Explanation of Solution

Given:

The given expression is:

  $-5b{x}^3-2bx+4x^2-b^3$

Calculation:

Rewrite the given polynomial to arrange the powers of x in ascending order:

  $\begin{array}{l}=-5b{x}^3-2bx+4x^2-b^3\\ \text{=}-5b{x}^3-2b{x}^1+4x^2-b^3{x}^0\\ \text{=}-b^3{x}^0-2b{x}^1+4x^2-5b{x}^3\left(0<1<2<3\right)\end{array}$