 C3 Algebra 1. Express as a single fraction in its simplest form. (7) 2. (a) Simplify (b) Hence, or otherwise, express as a single fraction in its simplest form. (3) 3. (a) Show that (b) Show thatx2 + x +1 > O for all values of x. (c) Show that f (x) > O for all values of x, x * -2. 4. (b) Hence, or otherwise, find f'(x) in its simplest form. 5. Given that find the values of the constants a, b, c, d and e. 6. (a) Express f (x) as a single fraction in its simplest form. (4) (b) Hence show that 7.

The function f is defined by The function g is defined by x, x* In 2 (b) Differentiate g(x) to show that c) Find the exact values of x for which g'(x) = 8. Express (a) Simplify fully 9. Given that +1n(x2+2x-15), x * . Edexcel C3 January 2006 Question 2 2. Edexcel C3 June 2006 Question 1 3. Edexcel C3 January 2007 Question 2 4. Edexcel c3 June 2007 Question 2 5. Edexcel C3 January 2008 Question 1 6. Edexcel C3 June 2008 Question 7. Edexcel C3 January 2009 Question 2 8. Edexcel CS June 2009 Question 7 9. Edexcel C3 January 2010 Question 1 10.