Quandaries
and Queries 

Who is asking: Student Level: Secondary Question: 

Hi Raymond, Substitute k = 1 into 4x^{3}  kx to get 4x^{3}  x. Division by the quadratic expression 4  x^{2} will leave a remainder which is either a linear expression or a constant. One method to find this remainder is to use long division, divide by 4  x^{2} and record the remainder. A second method is to write 4x^{3}  x an a multiple of 4  x^{2} plus a linear or constant term.
Thus the remainder, on division by 4  x^{2} is 15x. Penny 

