Chapter 14.2, Problem 19HP

To determine

To calculate the polynomial to get sum $2y^2+5$ , when added to $3y^2-4y+2$

Answer to Problem 19HP

Polynomial is, $-y^2+4y+3$

Explanation of Solution

Given information:

Sum of two polynomial is,

  $2y^2+5$ ,

One of the polynomials is,

  $3y^2-4y+2$ .

Calculation:

Let,” $P$ ” be the second polynomial.

Hence,

  $3y^2-4y+2+(P)=2y^2+5$

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

  $P=2y^2+5-3y^2+4y-2$

Re-arranging the values,

  $\begin{array}{l}P=2y^2-3y^2+4y-2+5\\ P=-y^2+4y+3\end{array}$

Hence, the polynomial is

  $-y^2+4y+3$