Chapter 14.2, Problem 18HP

To determine

To find two polynomials

Answer to Problem 18HP

Polynomials are,

  $x^2$ , and

  $2x^2-8x$

Explanation of Solution

Given information:

Sum of the polynomials is,

  $3x^2-8x$

Formula used: Polynomial subtraction

Calculation:

Let,” $x^2$ ” be one of the polynomials,

And “ $P$ ” be the second polynomial.

Hence,

  $x^2+P=3x^2-8x$

Shifting left- hand side values to right-hand side,

  $P=3x^2-8x-x^2$

Re-arranging the values,

  $\begin{array}{l}P=3x^2-x^2-8x\\ P=2x^2-8x\end{array}$

Hence, the polynomials are

  $x^2$ , and

  $2x^2-8x$