The value <em>p</em> is an upper bound on the real roots of the polynomial if division of the polynomial by (x-p) results in quotient terms that all have positive coefficients.
The value <em>q</em> is a lower bound on the real roots of the polynomial if division of the polynomial by (x-q) results in quotient terms that alternate signs.
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The division can be either synthetic division or long division.
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An upper bound on the magnitude of the roots can be found this way:
- Divide all coefficients by that of the highest-degree term
- Find the absolute value of the result
- Choose the maximum of those results and increase it by 1
There are various refinements, including finding the sum of the ratios of successive coefficients, or taking increasing roots of the ratios found above, then doubling the maximum of those.
Answer:
f(3)= -2*3^2+8
= -10
the correct answer is -10
Answer:
Step-by-step explanation:
<u>According to table:</u>
- The y - intercept is b = 3 (point (0, 3))
- The slope is m = 13 - 8 = 5 (points (1, 8) and (2, 13))
<u>The equation is:</u>
Answer:
4 3/20 cm
Step-by-step explanation:
Perimeter of a triangle = 16 3/5 cm
Side A = 5 7/10 cm
Side B = 6 3/4 cm
Side C = x cm
Perimeter of a triangle = side A + side B + side C
16 3/5 = 5 7/10 + 6 3/4 + x
83/5 = 57/10 + 27/4 + x
83/5 = (114+135) / 20 + x
83/5 = 249/20 + x
x = 83/5 - 249/20
= (332-249) / 20
= 83/20
= 4 3/20
x = 4 3/20 cm
Side C = x cm = 4 3/20 cm
Answer: $235,62
Step-by-step explanation:
You need to use the formula for calculate the volume of a cylinder:
Where "r" is the radius and "h" is the height.
You know that the cylindrical container has a diameter of 0.5 feet and a height of 5 feet (Remember that the radius if half the diameter):
Then, you need to substitute these values into to get the volume of the cylindrical container:
Since the gas costs $60 per cubic foot, you need to multiply the volume of the container by $60 to get the total value of the gas in the container if it's filled completely. Then: