Weekend Assignment
Given that a cubic equation x3 + 2x2 – 19x – 20 = 0 has 4 as one its roots, find the
(1) Second root (a) -1 (b) 1 (c) 2 (d) 3
(2) Third root (a) 5 (b) -8 (c) 3 (d) 2
(3) Sum of the second and third roots (a) -4 (b) 6 (c) 4 (d) -6
(4) Product of the second and third roots (a) 6 (b) 5 (c) -6 (d) -5
(5) Find the zeros of x2 – 1 (a) 2 or -2 (b) 1 or 2 (c) -1 or 1 (d) 1 or -2
Theory
(1) If (x + 1) is a factor of f(x) = x3 + kx2 + 3x + 10, find the value of the constant k.
(2) Factorise f(x) completely.
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