Answer:
1. a 2. d 3. c 4. d 5. b
Step-by-step explanation:
Factor the following:
12 x^4 - 42 x^3 - 90 x^2
Factor 6 x^2 out of 12 x^4 - 42 x^3 - 90 x^2:
6 x^2 (2 x^2 - 7 x - 15)
Factor the quadratic 2 x^2 - 7 x - 15. The coefficient of x^2 is 2 and the constant term is -15. The product of 2 and -15 is -30. The factors of -30 which sum to -7 are 3 and -10. So 2 x^2 - 7 x - 15 = 2 x^2 - 10 x + 3 x - 15 = x (2 x + 3) - 5 (2 x + 3):
6 x^2 x (2 x + 3) - 5 (2 x + 3)
Factor 2 x + 3 from x (2 x + 3) - 5 (2 x + 3):
Answer: 6 x^2 (2 x + 3) (x - 5)
Answer:
-7
Step-by-step explanation:
-20 × -7 = 140
140 × -7 = -980
Answer:
6/11, 15/21, 9, 27/37, 31/54
Step-by-step explanation:
Absolute value is when you determine the distance between a value and zero . Since you will always have a positive distance, your absolute values are positive as well.
This answer would be -375