Answer:
![{x}^{2} - x + 3](https://tex.z-dn.net/?f=%7Bx%7D%5E%7B2%7D%20-%20x%20%2B%203)
Step-by-step explanation:
Instead, since the divisor is in the form of
, use what is called Synthetic Division. Remember, in this formula,
gives you the OPPOSITE terms of what they really are, so do not forget it. Anyway, here is how it is done:
4| 1 −5 7 −12
↓ 4 −4 12
_______________
1 −1 3 0 → ![{x}^{2} - x + 3](https://tex.z-dn.net/?f=%7Bx%7D%5E%7B2%7D%20-%20x%20%2B%203)
You start by placing the
in the top left corner, then list all the coefficients of your dividend [x³ - 5x² + 7x - 12]. You bring down the original term closest to
then begin your multiplication. Now depending on what symbol your result is tells you whether the next step is to subtract or add, then you continue this process starting with multiplication all the way up until you reach the end. Now, when the last term is 0, that means you have no remainder. Finally, your quotient is one degree less than your dividend, so that 1 in your quotient can be an
, the −1 [
] follows right behind it, and bringing up the rear, comes the 3, giving you the quotient of
.
I am joyous to assist you anytime.
Answer:
F
Step-by-step explanation:
Your welcome my guy :D
Its
C. Draw a line connecting the the intersection of the arcs below and above the segment.
Answer:![(g,h)=(-2,2)](https://tex.z-dn.net/?f=%28g%2Ch%29%3D%28-2%2C2%29)
Step-by-step explanation:
Given
Midpoint is ![(-2,3)](https://tex.z-dn.net/?f=%28-2%2C3%29)
Endpoints are
and ![H(-2,h)](https://tex.z-dn.net/?f=H%28-2%2Ch%29)
Mid point of any two point is given by
![x=\frac{x_1+x_2}{2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7Bx_1%2Bx_2%7D%7B2%7D)
and ![y=\frac{y_1+y_2}{2}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7By_1%2By_2%7D%7B2%7D)
So,![-2=\frac{g+(-2)}{2}](https://tex.z-dn.net/?f=-2%3D%5Cfrac%7Bg%2B%28-2%29%7D%7B2%7D)
![-4=g-2](https://tex.z-dn.net/?f=-4%3Dg-2)
![g=-2](https://tex.z-dn.net/?f=g%3D-2)
Also
![3=\frac{4+h}{2}](https://tex.z-dn.net/?f=3%3D%5Cfrac%7B4%2Bh%7D%7B2%7D)
![6=4+h](https://tex.z-dn.net/?f=6%3D4%2Bh)
![h=2](https://tex.z-dn.net/?f=h%3D2)
Therefore ![(g,h)=(-2,2)](https://tex.z-dn.net/?f=%28g%2Ch%29%3D%28-2%2C2%29)
Complete the recursive formula of the arithmetic sequence 8, -5, -18, -31,...8,−5,−18,−31,...8, comma, minus, 5, comma, minus, 1
dimaraw [331]
The recursive formula for the arithmetic sequence is given as follows:
<h3>What is an arithmetic sequence?</h3>
In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.
The nth term of an arithmetic sequence is given by:
![a_n = a_1 + (n - 1)d](https://tex.z-dn.net/?f=a_n%20%3D%20a_1%20%2B%20%28n%20-%201%29d)
In which
is the first term.
The recursive formula for the sequence is given by:
![a_n = a_{n-1} + d](https://tex.z-dn.net/?f=a_n%20%3D%20a_%7Bn-1%7D%20%2B%20d)
In the sequence 8, -5, -18, -31,...8,−5,−18,−31, the first term and the common ratio are given as follows:
![a_1 = 8, r = 13](https://tex.z-dn.net/?f=a_1%20%3D%208%2C%20r%20%3D%2013)
Hence, the recursive sequence is given by:
More can be learned about arithmetic sequences at brainly.com/question/6561461
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