a) Find an equation with integral co-efficients, whose roots are the squares
of the roots of the equation 2×2 + 5x – 6 = 0 (5 marks)

b) Find the greatest value of:

-10 + 14x – 2×2 and state the value of x at which it occurs. Sketch the curve
of y = -10 + 14z -2×2. Showing clearly the line of symmetry of the curve.(5 marks)

c) Solve by factorization the equation 2×2 – 5x + 3 = 0 (5 marks)

d) The sum to infinity of a geometrical progression with a positive common
ratio is 9 and the sum of the first two terms is 5. Find the first four terms
of the progression. (5 marks)

 

 

 

 

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