Question: 1. (a) Given a function f(x) =17+12x-x]. (i) By completing the square, express the function in the form of a(x - h) +b where a

1. (a) Given a function f(x) =17+12x-x]. (i) By completing the

1. (a) Given a function f(x) =17+12x-x]. (i) By completing the square, express the function in the form of a(x - h) +b where a and b are constants. Hence, find the values of a , h and b. (4 marks) (ii) Determine whether the function has a maximum or minimum value and then find the coordinates of that point. (3 marks) (i) Solve the inequality f(x) 20. (3 marks) (b) Verify the trigonometric identity below: (sin 0 -cose)2 + (sin 0 + cose)? = 2 (5 marks) (c) Find a factor for the polynomials below and hence factorise the polynomial completely: f(x) =x+6x- +1lx+6

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