MATHEMATICS · Subjective · A Level · Mathematics · Algebra and Functions · Algebra and Functions
Problem
For the polynomial g(x)=x3+kx2−5x+6, the remainder obtained on division by (x−2) is equal to the remainder obtained on division by (x+3).
(i) Write an algebraic equation in k that expresses this condition.
(ii) Solve the equation to find the value of k.
(iii) Using the value of k found in part (ii), compute the common remainder mentioned above.