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:
I plotted it out on the graph and here it is:
Answer:
12p = 48
3rd option
Step-by-step explanation:
total photos =48
pages on website = 12
photos on each page = p
then,
p =48/12
that is
12p =48
Answer:
The solution to the given inequality is a > 8.
Step-by-step explanation:
For this problem, we have to solve for the inequality.
9a - 24 > 48
add 24 on both sides of the inequality.
9a > 72
Divide 9 on both sides of the inequality.
a > 8
So, your solution would be a > 8.
