F.2 Factorize Q2 (quick)!!

2012-12-13 3:29 am
Factorize the following expressions

1. 3p+2q^2-q-6pq

2.x^4+cx^3-2x^3-2cx^2

please 詳細寫步驟 and 解釋
更新1:

very good answers!!

回答 (1)

2012-12-13 4:21 am
✔ 最佳答案
1) 3p + 2q² - q - 6pq
= 2q² - q + 3p - 6pq
= q(2q - 1) + 3p(1 - 2q)
= q(2q - 1) - 3p(2q - 1)
= (2q - 1) (q - 3p)

2)x⁴+ cx³ - 2x³ - 2cx²
= x² ( x² + cx - 2x - 2c )
= x² ( x² + cx - (2x + 2c) )
= x² ( x(x + c) - 2(x + c) )
= x² (x - 2) (x + c)


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