JAMB - Mathematics (1991 - No. 12)
Multiply (x2 - 3x + 1) by (x - a)
x3 - (3 + a) x2 + (1 + 3a)x - a
x3 - (3 - a)x2 + 3ax - a
x3 - (3 - a)x2 - (1 = 3a) - a
x3 + (3 - a)x2 + (1 + 3a) - a
Explanation
(x2 - 3x + 1)(x - a) = x3 - 3x2 + x - ax2 + 3ax - a
= x3 - (3 + a) x2 + (1 + 3a)x - a
= x3 - (3 + a) x2 + (1 + 3a)x - a
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