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
Answer:
x=4/7
Step-by-step explanation:
Change mixed fractions to improper fractions
2 1/4 = 9/4
1 2/7 =9/7
Therefore, we have
9/4=9/7÷x
9/7÷x is 9/7×1/x=9/7x
Then, we have
9/4=9/7x
Cross multipy
9×7x=9×4
63x=36
Make x the subject of the formula, we have
x=36/63
x=4/7
Seventh graders, sixth graders, then eighth graders
