Answer:
Step-by-step explanation:
Since the divisor of 
is in the form of 
we use what is called Synthetic Division. Now, in this formula, −c gives the OPPOSITE terms of what they really are, so do not forget it. Anyway, here is how it is done:
4| 1 1 −17
↓ 4 20
_________
1 5 3 →
You start by placing the <em>c</em> in the top left corner, then list all the coefficients of your dividend [x² + x - 17]. You bring down the original term closest to <em>c</em> 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 x, the 5 follows right behind it, and bringing up the rear, 
giving you the quotient of 
However, in this case, since you have a remainder of 3, this gets set over the divisor.
I am joyous to assist you anytime.
Answer:
Step-by-step explanation:
p = 106
L = 8 + 4W
p = 2L + 2W
p = 2(8 + 4W) + 2W
p = 16 + 8W + 2 W
p = 16 + 10W
106 = 16 + 10W
106 - 16 = 10W
90 = 10W
90/10 = W
9 = W
<h2>W = 9</h2><h2 />
L = 8 + 4W
L = 8 + 4(9)
L = 8 + 36
<h2>L = 44</h2>
44 + 44 + 9 + 9 = 106
44 * 9 = Area = 396
The width and length of the rectangle are 6.4 feet and 12. 96 meters respectively.
<h3>How to determine the dimensions</h3>
The formula for determining the area of a rectangle is expressed as;
Area = width × length
Given that;
- Area = 84 square feet
- length = 2w
Let's substitute into the formula
84 = w(2w)
84 = 2w²
Divide both sides by 2
84/ 2 = w²
42 = w²
Take square root of both sides
w = √42
w = 6.4 feet
Length = 2w = 2 × 6. 4 = 12. 96 meters
Thus, the width and length of the rectangle are 6.4 feet and 12. 96 meters respectively.
Learn more about rectangles here:
brainly.com/question/25292087
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