Question 1095572
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<pre>
Apply the remainder theorem:


      The remainder of dividing  of a polynomial  P(x) (ANY POLYNOMIAL !!) by the binomial (x-a) is equal 
       to the value P(a) of the polynomial at x= a.


And you will get for your case

      3^3 - a*3^2 - 5*3 + 4 = 97.    (1)


It is your equation to determine the value of "a".
</pre>


Now you can complete the assignment on your own, by finding "a" from the equation (1).



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On the Remainder theorem, &nbsp;see my lessons  in this site


&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/Polynomials-and-rational-expressions/Divisibility-of-polynomial-f%28x%29-by-binomial-x-a.lesson >Divisibility of polynomial f(x) by a binomial (x-a) and the Remainder theorem</A> 

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/Polynomials-and-rational-expressions/Solved-problems-on-the-Remainder-theorem.lesson>Solved problems on the Remainder thoerem</A>



Also, &nbsp;you have this free of charge online textbook in ALGEBRA-II in this site

&nbsp;&nbsp;&nbsp;&nbsp;<A HREF=https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson>ALGEBRA-II - YOUR ONLINE TEXTBOOK</A>.


The referred lessons are the part of this online textbook under the topic 
"<U>Divisibility of polynomial f(x) by binomial (x-a). The Remainder theorem</U>".