Answer:
Step-by-step explanation:
#1 Synthetic method
- 2x³ + x² - 2x - 4 ÷ x + 1 = 2x² - x - 1 rem 3
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x + 1 | 2x³ + x² - 2x + 4
---------------------------------
-1 | 2 1 -2 4
<u>| - 2 1 1 </u>
2 - 1 - 1 3
#2 Long division
- 3x³ - 5x² - 26x - 8 ÷ 3x + 1 = x² - 2x - 8
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3x³ - 5x² - 26x - 8 <u>| 3x + 1</u> = x² - 2x - 8
<u>3x³ + x²</u>
-6x² - 26x
<u>-6x² - 2x</u>
- 24x - 8
<u>- 24x - 8</u>
0
The two slopes of the two equations are 2 and 3 respectively. They are the values just to the left of the x. Since the slopes are different, this means the lines are angled so that they are not parallel.
Non-parallel lines will cross exactly one time. So there is exactly one solution.
Answer:
261.98 is the value of the given expression.
Step-by-step explanation:
We have to find the value of the following expression:

Using the associative property, we can write and solve the given expression as:

Rounding off the answer, we get,

Thus, 261.98 is the value of the given expression.
Answer:
x=119 and x=80
Step-by-step explanation: a triangle always equals to 180
x+61=180
x+61-61=180-61
x=119
x+100=180
x+100-100=180-100
x=80