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wolverine [178]
3 years ago
15

Find all roots of the polynomial function f(x) = 2x^4-x^3-13x^2+5x+15

Mathematics
2 answers:
Simora [160]3 years ago
7 0

Answer:

Roots are :  1, -7 and -7

Step-by-step explanation:

When we put x = -1 in F(x) it is equal to 0

Thus, (x + 1) is factor of given function.

When we divide F(x) by (x + 1) it gives the value (x² - 6x - 7)

factorizing the work  x² - 6x - 7 by middle term splitting.

> x² - 6x - 7 = x² - 7x + x - 7

>  x(x - 7) + 1(x - 7)

>  (x + 1) (x - 7)

then,  x³ - 5x² - 13x - 7 = (x + 1)(x + 1)(x - 7)

x = -1, -1, 7 the factor.

D and C is the answers.

Step-by-step explanation:

sweet [91]3 years ago
3 0
1 -7 7


Hope this helps you out
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i don't understand how to make it into a graphing form? how do you find the center and radius? (I'm confused because it has a 4x
Vilka [71]

Answer: \bold{(x-2)^2+(y-3)^2=\dfrac{1}{4}}

               Center = (2, 3)          radius = \bold{\dfrac{1}{2}}

<u>Step-by-step explanation:</u>

When both the x² and y² values are equal and positive, the shape is a circle. Complete the square to put the equation in format:

(x-h)² + (y-k)² = r²    where

  • (h, k) is the vertex
  • r is the radius

1) Group the x's and y's together and move the number to the right side

   4x² - 16x         + 4y² - 24y               = -51        

2) Factor out the 4 from the x² and y²

    4(x² - 4x          ) + 4(y² - 6y            ) = -51

3) Complete the square (divide the x and y value by 2 and square it)

    4[x^2-4x+\bigg(\dfrac{-4}{2}\bigg)^2]+4[y^2-6y+\bigg(\dfrac{-6}{2}\bigg)^2]=-51+4\bigg(\dfrac{-4}{2}\bigg)^2+4\bigg(\dfrac{-6}{2}\bigg)^2

  = 4(x - 2)² + 4(y - 3)² = -51 + 4(-2)² + 4(-3)²

  = 4(x - 2)² + 4(y - 3)² = -51 + 4(4) + 4(9)

  = 4(x - 2)² + 4(y - 3)² = -51 +  16  +  36

  = 4(x - 2)² + 4(y - 3)² = 1

4) Divide both sides by 4

   (x-2)^2+(y-3)^2=\dfrac{1}{4}

  • (h, k) = (2, 3)
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Nancy walked 516 yards in 6 minutes and then another 368 yards in 4 minutes. What was Nancy's average speed? * A. 89 yd/min B. 8
Rina8888 [55]
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Average speed = (884 yards) / (10 minutes)

Average speed = 88.4 yards/minute  (C)


Other ways to write the same speed:

-- 4.42 feet/second
-- 265.2 feet/minute
-- 53.04 inches/second
-- 5,304 yards/hour
-- 3.014 mph (rounded)
-- 810.07 furlong/fortnight
7 0
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A car dealership is having a sale in which customers pay 85% of the retail price for a new vehicle. keith is buying a vehicle wi
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Then, after negotiating to pay 9% off the sale price, he will only need to pay 91% of the sale price. The new price would be,
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ExtremeBDS [4]
<h3>Answer: Choice A. 8pi  feet</h3>

======================================================

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The full circumference of a circle with radius r is

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C = 2*pi*r

C = 2*pi*16

C = 2*16*pi

C = 32pi

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(1/4)*32pi = (1/4*32)pi = 8pi

The arc length is exactly 8pi feet long

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