Answer: <span><span>2x² + x - 2</span> (the first option)
Explanation:
1) Question: divide 8x⁴+2x³-7x²+3x-2 by 4x² - x + 1
2) First term of the quotient
</span><span> 8x⁴ + 2x³ - 7x² + 3x - 2 | 4x² - x + 1
---------------------
-8x⁴ + 2x³ - 2x² 2x²
----------------------------------
4x³ - 9x² + 3x - 2
3) Second term of the quotient:
</span>
<span> 8x⁴ + 2x³ - 7x² + 3x - 2 | 4x² - x + 1
---------------------
-8x⁴ + 2x³ - 2x² 2x² + x
----------------------------------
4x³ - 9x² + 3x - 2
-4x³ + x² - x
----------------------------
- 8x² + 2x - 2
4) third term of the quotient:
</span>
<span> 8x⁴ + 2x³ - 7x² + 3x - 2 | 4x² - x + 1
---------------------
-8x⁴ + 2x³ - 2x² 2x² + x - 2
----------------------------------
4x³ - 9x² + 3x - 2
-4x³ + x² - x
----------------------------
- 8x² + 2x - 2
8x² - 2x + 2
-------------------------
0
5) Conclusion: since the remainder is 0, the division is exact and the quotient is </span>2x² + x - 2
You can verify the answer by multiplying the quotient obtained by the divisor. The result has to be the dividend.
Answer: literal language
hope this helps :)
Answer:
The library has 1,056 crime DVDs.
Step-by-step explanatiion:
Crime : Adventure : Science
11x : 6x : 10x
6x+384=10x
384=4x
x=96
The number of crime DVDs is 11x.
We found that x=96.
So, the number of crime DVDs the library has is equal to 11*96.
11*96=1,056.
Hope this helps!
Answer:
1320, permutation
Step-by-step explanation:
There are 12 members
Pick a president
We have 12 choices
Now there are 11 people left to pick from
now pick a vp
We have 11 choices
Now there are 10 people left to pick from
now pick a secretary
We have 10 choices
12*11*10 = 1320
This is a permutation since it matters who is president, vp and secretary
Answer:
yes
Step-by-step explanation:
2x-4=6
Let x = 5
2*5 - 4 = 6
10 -4 =6
6 = 6
Since this is true, x=5 is a solution to the equation
