a) The polynomial
is required to obtain the polynomial
.
b) The polynomial
is required to obtain the polynomial
.
In this question we must take advantage of the <em>closure</em> properties for the addition between two polynomials to determine all required polynomials, which are defined by this expression:
(1)
Where:
- Resulting polynomial.
- Original polynomial.
- Required polynomial.
Now we proceed to determine each required polynomial:
<h3>a)

,

</h3><h3 />
(1)
<h3 />
The polynomial
is required to obtain the polynomial
. 
<h3 /><h3>b)

,

</h3><h3 />
(2)
The polynomial
is required to obtain the polynomial
. 
<h3>Remark</h3>
The statement is incomplete, complete form is shown below:
<em>Find a polynomial which, when added to the polynomial </em>
<em> is equivalent to the following expressions: (a) </em>
<em>, (b) </em>
<em>.</em>
<em />
To learn more on polynomials, we kindly invite to check this verified question: brainly.com/question/17822016