factorize the following expression.
x^2(3x-1)^2 - 14x(3x-1)+40
=?????
(It is given that x^2 - 14x + 40 = (x-10)(x-4)
註:請列明步驟
F.3 一條數學問題............
2010-09-25 10:52 pm
回答 (1)
2010-09-25 11:02 pm
✔ 最佳答案
It is given that X^2 - 14X + 40 = (X - 10)(X - 4) .......(*)Factorize x^2(3x-1)^2 - 14x(3x-1)+40 := [x(3x-1)]^2 - 14 x(3x-1) + 40Let X be x(3x-1) , by (*) := (x(3x-1) - 10) (x(3x-1) - 4)= (3x^2 - x - 10) (3x^2 - x - 4)= (3x + 5)(x - 2) (3x - 4)(x + 1)
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