The synthetic division of the polynomial, (2x⁴ + 4x³ + 2x² + 8x + 8) / (x + 2) = 2x³ + 2x + 4.
<h3>Division of the polynomial</h3>
The division of the polynomial is determined as follows;
(2x⁴ + 4x³ + 2x² + 8x + 8) / (x + 2)
2x³ + 2x + 4
-------------------------
x + 2 √(2x⁴ + 4x³ + 2x² + 8x + 8)
- (2x⁴ + 4x³)
-------------------------------------
2x² + 8x + 8
- (2x² + 4x)
------------------------
4x + 8
- (4x + 8)
-------------------
0
Thus, the synthetic division of the polynomial, (2x⁴ + 4x³ + 2x² + 8x + 8) / (x + 2) = 2x³ + 2x + 4.
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Hey There! :)
To Solve for t.
Distribute the brackets.
Subtract 7t from both sides.
Factor out variable, t.
Divide both sides by h-7.
Hope this helps!
-Benjamin
Answer:
chances are 10.5
Step-by-step explanation:
Answer:
D. X= ± square root of 8 - 2
Step-by-step explanation:
Given quadratic equation is \[x^{2}+4x=4\]
Rearranging the terms: \[x^{2}+4x-4=0\]
This is the standard format of quadratic equation of the form \[ax^{2}+bx+c=0\]
Here, a=1 , b=4 and c=-4.
Roots of the quadratic equation are given by \[\frac{-b \pm \sqrt{b^{2}-4ac}}{2a}\]
Substituting the values and calculating the roots:
\[\frac{-4 \pm \sqrt{(-4)^{2}-4*1*(-4))}}{2*1}\]
= \[\frac{-4 \pm \sqrt{32}}{2}\]
= \[\frac{-2*2 \pm 2*\sqrt{8}}{2}\]
= \[-2 \pm \sqrt{8}\]
Hence option D is the correct option.
We are required to find the average change in weight each month.
The average weight lost each month is 1.4 pounds
<em>Total weight lost</em> = 3.5 pounds
<em>Number of months </em>= 2.5 months
<em>Average weight lost each month = Total weight lost / Number of months</em>
= 3.5 pounds / 2.5 months
= 1.4 pounds per month
Therefore, the average weight lost each month is 1.4 pounds
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