Evaluation
Find the quadratic equation whose roots are (i) 3 & -2 (ii) -1 & 8 (iii) ¾ & ½
General Evaluation
(1) When x2 + bx + 2 is divided by x + 3 the remainder is 5. Find the value of b.
(2) If 2x2 – (b – 4) x – 4 (b + 2) = 0, has equal roots, find the possible values of b.
(3) Factorise completely x3 + 5x2 – 3x + 1
(4) Solve the following pair of equation simultaneously 4x – 3y = 17, 3x2 – 2y2 + x – 4y = 73
Reading Assignment
Further Maths 1 pages 66 – 69 Exercise 6a Q5, 9 and 10
Weekend Assignment
(1) Find the remainder when 2x3 – 4x2 + x – 3 is divided by x + 3
(a) 84 (b) -86 (c) -64 (d) 76
(2) Factorise x4 – 1 completely (a) (x + 2) (x – 3) (b) (x + 1) (x – 1) (x2 + 1)
(c) (x + 1) (x + 2) (x – 3) (d) (x2 + 1) (x + 1) (x – 2)
(3) Given that p1(x) = 2x4 + 3x3 – x2 + 2x – 3 and p1(x) = 3x3 + 2x + 2. Find 3p1(x) – 3p1(x)
(a) 6x4 – 3x2 – 15 (b) 5x4 – 3x4 + 2x2 – x + 3 (c) 6x4 = 9x3 – 15
(d) 6x4 + 18x2 + 6x2
(4) Given that p(x) = x3 + 4x2 – 3x + 1, find p( ½ )
(5) Given that p(x) = ax2 + bx + 1, p( ½ ) = ½ and p(-2) = 23, determine the values of a and b
(a) a = -3, b = 4 (b) a = 2, b = -3 (c) a = 4, b = -3 (d) a = 3, b = -3
Theory
(1) Find the quotient and remainder when 2x4 – 3x3 + x2 – 4x + 5 is divided by x2 + 3x + 1
(2) If p1 = 3x3 + 2x2 – x + 2, p2 = 2x2 + x – 6 and p3 = x3 + 3x2 + 2x – 4, find (i) p3(p1 + p2) (ii) p2 + p3 – 3p1 (iii) p2 x (p3 + p1)
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