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:
180 Degrees
Step-by-step explanation:
So, m∠1 = m∠2 = m∠3 means that these angles are the same degrees
The question asks whats the degree of m∠CDG so first we find those points. In this image, it looks like points C,D and G form a line which is also equivalant to 180.
I hope you understand! If not, i'll try to elaborate more
Answer:
y=2x+10
Step-by-step explanation:
In line equations its helpful to write your line in the form y = ax + b. This helps because a is always the gadient of the line and b is always the y intercept.
In this case it is y=2x+3
All parallel lines have the same gradient. The gradient of this line = 2.
If the line crosses the x axis at x=-5, then when x =-5 y = 0.
If you put all this in the form y =ax + b you get 0 = 2(-5) +b
So all you need to do to find b is rearrange. b = 10.
Therefore your line has gradient 2 and y intercept 10.
y = 2x + 10
The simplified expression is 16
