Question 1187138
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Solve each problem.
1. Find the value of k so that the remainder is 25 when kx²-x+1 is divided by x-3.
2. Find the value of k so that the remainder is -1 when 5x²+kx-25 is divided by x+2.
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<pre>
(1)  Due to the Remainder theorem, this passage

         " the remainder is  25  when  {{{kx^2-x+1}}}  is divided by  x-3 "

     means that the value of the polynomial is equal to 25  at  x = 3.



     So, we substitute x= 3 into the polynomial and equate it to 25.

     It gives us an equation  {{{k*3^2 - 3 + 1}}} = 25,

     from which we find k


           9k - 3 + 1 = 25

           9k -2 = 25

           9k    = 25 + 2 = 27

            k             = 27/9 = 3.     <U>ANSWER</U>
</pre>

Solved.


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Solve part &nbsp;(2) &nbsp;by &nbsp;THE &nbsp;SAME &nbsp;WAY &nbsp;on your own.