Factor the expression, if possible. a ^3 - 225a + 2a ^2 - 450?
回答 (3)
2008-07-19 9:47 am
✔ 最佳答案
a^3 - 225a + 2a^2 - 450= (a^3 - 225a) + (2a^2 - 450)
= a(a^2 - 225) + 2(a^2 - 225)
= (a + 2)(a^2 - 225)
= (a + 2)(a + 15)(a - 15)
2008-07-20 3:51 am
f (- 2) = - 8 + 450 + 8 - 450
f (- 2) = 0
Thus a - (- 2) = a + 2 is a factor.
To find other factors, use synthetic division:-
(-2)|1____2____-225____-450
__ |_____-2_____0______450
__ |1____0____-225______0
(a + 2) (a² - 225)
(a + 2) (a - 15) (a + 15)
f (- 2) = 0
Thus a - (- 2) = a + 2 is a factor.
To find other factors, use synthetic division:-
(-2)|1____2____-225____-450
__ |_____-2_____0______450
__ |1____0____-225______0
(a + 2) (a² - 225)
(a + 2) (a - 15) (a + 15)
2008-07-19 4:50 pm
a^3 - 225a + 2a^2 - 450
= (a^3 - 225a) + (2a^2 - 450)
= a(a^2 - 225) + 2(a^2 - 225)
= (a + 2)(a^2 - 225)
= (a + 2)(a + 15)(a - 15)
= (a^3 - 225a) + (2a^2 - 450)
= a(a^2 - 225) + 2(a^2 - 225)
= (a + 2)(a^2 - 225)
= (a + 2)(a + 15)(a - 15)
收錄日期: 2021-05-01 10:50:51
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