How can you divide an algebraic expression by another algebraic expression?

I would begin the session with checking a basic understanding of the methods of long division, as these will not have been taught very recently. Many students will have been using short division, as it is quicker and once this is taught, many students forget the process of long division all together.

Once this has been refreshed, I would move onto explanations of how the process can be applied to algebraic expressions, using examples of simple questions to demonstrate this. I would encourage the student to try some questions in the session with me, and then I would end the session with an exam style question from a textbook or past paper.

JH

Related Further Mathematics GCSE answers

All answers ▸

write showing all working the following algebraic expression as a single fraction in its simplest form: 4-[(x+3)/ ((x^2 +5x +6)/(x-2))]


In the expansion of (x-7)(3x**2+kx-3) the coefficient of x**2 is 0. i) Find the value of k ii) Find the coefficient of x. iii) write the fully expanded equation in terms of x


A curve is mapped by the equation y = 3x^3 + ax^2 + bx, where a is a constant. The value of dy/dx at x = 2 is double that of dy/dx at x = 1. A turning point occurs when x = -1. Find the values of a and b.


A circle has equation x^{2}-8x+y^{2}-6y=d. A line is tangent to this circle and passes through points A and B, (0,17) and (17,0) respectively. Find the radius of the circle.