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Factor \(3y^2 -22y -16\)

Guest Jun 7, 2017

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Factor the following:
3 y^2 - 22 y - 16

Factor the quadratic 3 y^2 - 22 y - 16. The coefficient of y^2 is 3 and the constant term is -16. The product of 3 and -16 is -48. The factors of -48 which sum to -22 are 2 and -24. So 3 y^2 - 22 y - 16 = 3 y^2 - 24 y + 2 y - 16 = y (3 y + 2) - 8 (3 y + 2):
y (3 y + 2) - 8 (3 y + 2)

Factor 3 y + 2 from y (3 y + 2) - 8 (3 y + 2):
Answer: | (3 y + 2) (y - 8)

Guest Jun 7, 2017
 #1
avatar
0
Best Answer

Factor the following:
3 y^2 - 22 y - 16

Factor the quadratic 3 y^2 - 22 y - 16. The coefficient of y^2 is 3 and the constant term is -16. The product of 3 and -16 is -48. The factors of -48 which sum to -22 are 2 and -24. So 3 y^2 - 22 y - 16 = 3 y^2 - 24 y + 2 y - 16 = y (3 y + 2) - 8 (3 y + 2):
y (3 y + 2) - 8 (3 y + 2)

Factor 3 y + 2 from y (3 y + 2) - 8 (3 y + 2):
Answer: | (3 y + 2) (y - 8)

Guest Jun 7, 2017

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