Answer:
x = –7, x = 2, or x = 4 are factors of f(x).
Step-by-step explanation:
Given : f(x) = 5x³ +5x²-170x +280 and x + 7 is one factor .
To find : What are all the roots of the function.
Solution : f(x) = 5x³ +5x²-170x +280 .
We have given that x + 7 is factor that mean x = -7 is factor of f(x )
When we divide f(x) by x +7 we get
5x² -30x +40 =0
Taking common 5 from equation
5( x² -6x +8) =0
On dividing by 5 both sides
x² -6x +8 = 0
On factoring
x² -2x -4x +8 = 0.
Taking common x from first two terms and -4 from last two terms
x ( x -2) -4 (x -2) = 0
On grouping
(x-2) (x-4) = 0
x -2 =0
x =2
x-4 =0
x = 4
Therefore, x = –7, x = 2, or x = 4 are factors of f(x).
Answer:
1. 4 gal= 16 qt.
2. 6 qt= 12 pt.
3. 11 pt= 176 fl oz.
4. 18 c= 144 fl oz.
5. 48 qt= 12 gal.
6. 17 gal= 136 pt.
7. 19 qt= 76 c.
8. 256 c= 16 gal.
9. 12 gal= 96 pt.
10. 28 c= 14 pt.
11. 17 c= 136 fl oz.
12. 128 fl oz= 16 c.
13. 8 gal= 32 qt.
14. 20 qt= 640 fl oz.
15. 4 qt= 8 pt.
16. 18 qt= 72 c.
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Answer:
2,184
Step-by-step explanation:
Answer:
B
Step-by-step explanation: