Chapter 14.3, Problem 15HP

To determine

To find two polynomials

Answer to Problem 15HP

Polynomials are,

  $x$ , and

  $3x+1$

Explanation of Solution

Given information:

Sum of the polynomials is,

  $4x+1$

Formula used: Polynomial subtraction

Calculation:

Let,” $x$ ” be one of thepolynomials,

And “ $P$ ” be the second polynomial.

Hence,

  $x+P=4x+1$

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

  $P=4x+1-x$

Re-arranging the values,

  $\begin{array}{l}P=4x-x+1\\ P=3x+1\end{array}$

Hence, the polynomials are

  $x$ , and

  $3x+1$