factorize〖3(x+1)〗^2-7(x+1)+2

2014-10-02 10:13 pm
Please factorize〖3(x+1)〗^2-7(x+1)+2. Thanks.

回答 (3)

2014-10-02 10:42 pm
✔ 最佳答案
take u=x+1
3u^2-7u+2=0
u=2 or u=1/3
then x=1 or x=-2/3
參考: myself
2014-10-02 11:13 pm
Method1:
3 (x+1)² - 7(x+1) + 2
= [3(x+1) - 1][ (x+1) - 2]
= (3x+3-1)(x+1-2)
= (3x+2)(x-1)

Method2:
3 (x+1)² - 7(x+1) + 2
= 3 (x² + 2x + 1) - 7x - 7 + 2
= 3x² + 6x + 3 - 7x - 5
= 3x² - x - 2
= (3x+2)(x-1)
2014-10-02 11:11 pm
[3(x+1)]^2 - 7(x+1)+2
= (3x+3)^2 - 7x-7+2
=9x^2 + 18x+9 - 7x-5
=9x^2 +11x +4


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