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Christine Snow
Mathematics
21 April, 07:00
Completely factor - 6x^3+11x^2+10x
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Kaitlyn
21 April, 07:26
0
-x (2 x - 5) (3 x + 2)
Step-by-step explanation:
Factor the following:
-6 x^3 + 11 x^2 + 10 x
Factor - x out of - 6 x^3 + 11 x^2 + 10 x:
-x (6 x^2 - 11 x - 10)
Factor the quadratic 6 x^2 - 11 x - 10. The coefficient of x^2 is 6 and the constant term is - 10. The product of 6 and - 10 is - 60. The factors of - 60 which sum to - 11 are 4 and - 15. So 6 x^2 - 11 x - 10 = 6 x^2 - 15 x + 4 x - 10 = 2 x (3 x + 2) - 5 (3 x + 2):
-x 2 x (3 x + 2) - 5 (3 x + 2)
Factor 3 x + 2 from 2 x (3 x + 2) - 5 (3 x + 2):
Answer: - x (2 x - 5) (3 x + 2)
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