Answer: x = {-1, -3, 2}
<u>Step-by-step explanation:</u>
x³ + 2x² - 5x - 6 = 0
Use the rational root theorem to find the possible roots: ±1, ±2, ±3, ±6
Use Long division, Synthetic division, or plug them into the equation to see which root(s) work <em>(result in a remainder of zero)</em>.
I will use Synthetic division. Let's try x = 1
1 | 1 2 -5 -6
|<u> ↓ 1 3 -2 </u>
1 3 -2 -8 ← remainder ≠ 0 so x = 1 is NOT a root
Let's try x = -1
- 1 | 1 2 -5 -6
|<u> ↓ -1 -1 6 </u>
1 1 -6 0 ← remainder = 0 so x = -1 is a root!
The coefficients of the reduced polynomial are: 1, 1, -6 --> x² + x - 6
Factor: x² + x - 6
(x + 3)(x - 2)
Set those factors equal to zero to solve for x:
x + 3 = 0 --> x = -3
x - 2 = 0 --> x = 2
Using Synthetic Division and Factoring the reduced polynomial, we found
x = -1, -3, and 2
Answer:
Tanisha's lunch cost $9.22.
Step-by-step explanation:
Given that,
Total bill = $18.94
Cost for Madison cost = $9.72
Total cost = Tanisha's lunch + Madison's lunch
18.94 = Tanisha's lunch + 9.72
Tanisha's lunch = 18.94 - 9.72
Tanisha's lunch = 9.22
So, Tanisha's lunch cost $9.22.
Answer:
The first bottle holds 25 3/5 ounces of water.
Step-by-step explanation:
16 x 8/5
= 16/1 x 8/5
= 128/5
= 25 3/5
Answer:
it's the 2nd one
Step-by-step explanation:
d = 3 + at^2
-3 | -3
d - 3 = at^2
d - 3/a = t^2
√d - 3/a = √t^2
t = √d - 3/a
