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:
−1 > x > −3
Step-by-step explanation:
Let's solve your inequality step-by-step.
8<3−5x<18
Answer:
60%
Step-by-step explanation: 12+16+8+4 is equal to 40. 40 minus the number of brown m&ms is 24 .24/40 as a percentage is 60%. Hope this helps!!!
Answer:
1 11/24 tablespoons
Step-by-step explanation:
There were 8 mugs in total so:
÷ 8=
16=48x-6y
swap the sides of the equation
48x-6y=16
Divide both sides of the equation by 2
24x-3y=8
now we do the same only different way ok
48x-6y=16
Divide both sides of the equation by 2
(48x-6y)÷2=16÷2
Distribute 2 through the parentheses
48x÷2-6y÷2=16÷2
calculate the quotient
48x÷2-6y÷2=8
calculate the quotient
24x-6y÷2=8
calculate the quotient
Answer: 24x-3y=8
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