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Find the Vertex of the following polynomial by converting to vertex form y = -3x 2 + 12x + 17

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(2, 29)

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Find the Vertex of the following polynomial y = 3.5x 2 - 42x + 141

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(6, 15)

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A ball is thrown up and off the roof of a 75 m tall building with an initial velocity of 14.7 m/s. a. Let t represent the time in seconds and h represent the height of the ball in meters. Write an equation that models the height of the ball. b. At what time does the ball reach maximum height? What is the ball’s maximum height?

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a.y = -4.9x 2 + 14.7x + 75 b.1.5 second, 86.025 meters

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A ball is thrown up and off the roof of a 75 m tall building with an initial velocity of 14.7 m/s. a. At what time or times is the ball 30 m above the ground? b. At what time does the ball hit the ground?

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a.-1.88 and 4.88 seconds b.-2.69 and 5.68 seconds

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What is the gestation period of an Hippopotamus? A: 4 months B: 8 months C: 12 months D: 16 months

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B 8 months

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Solve using any method 25x 2 - 49 = 0

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1.4 and -1.4

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Write a polynomial in general form that has x- intercepts of 8 and -3 and a y-intercept of -12

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y = 0.5x 2 - 2.5x - 12

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(0, -192) Write an equation for this polynomial in factored form

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

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-7/13+22/13*i

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6 - 5i 3 + 6i

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-4/15-17/15*i

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Name 5 real 4 letter words made up of the letters in the word ARROWHEAD.

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Road Head Dear Read Word Wade

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Find the exact solutions of the equation 3x 2 + 2x + 4 = 0

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x=-1/3 ± i√11/3

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Factor the following polynomial completely x 4 - 324

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(x+3√2)(x-3√2)(x+3i√2)(x-3i√2)

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Factor 12x 2 - 7x - 10

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2(3x - 7)(3x + 2)

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Factor 18x 2 - 30x - 28

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(3x+2)(4x-5)

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Factor 24x 5 + 81x 2

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3x 2 (2x + 3)(4x 2 - 6x + 9)

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On what vegetable did an ancient Egyptian place his right hand when taking an oath?

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Onion

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Factor x 3 + 2x 2 - 16x - 32

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(x+4)(x- 4)(x+2)

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Find a polynomial in factored form for this graph.

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0.5(x+4)(x-2)

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Draw a graph of a function with the following criteria: A cubic function with two real zeros, whose graph has a negative y-intercept

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What is the record snowfall in Milwaukee, WI for one winter? (Within 6 inches)

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109.8” 9’ 10”

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Write a polynomial function with the given criteria. A fourth-degree polynomial function with two double roots, 0 and 2, and whose graph contains the point (1, -1)

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y=-x 2 (x-2) 2

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16x 4 + 8x 3 + 4x 2 + 2x + 1

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x 3 + 4x 2 + 3x + 12

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What instrument is used to measure wind speed? A: Anemometer B: Barometer C: Altimeter D: Fanometer

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A

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Find all of the zeros of x 4 -21x 2 - 100 No Calc

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5, -5, 2i, -2i

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List the possible rational roots of 0 = 6x 3 + 17x 2 + 6x - 8

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±8, ±4, ±2, ±1, ±1/2, ±8/3, ±4/3, ±2/3, ±1/3, ±1/6

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Find all of the zeros of y = x 4 - 5x 3 + 3x 2 + 19x - 30 No Calculator

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3, -2, 2 + i, 2 - i

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Find the zeros of y = x 3 - 3x 2 + 25x - 75 No Calc

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5i, -5i, 3

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Find all the zeros of y = x 5 - x 4 - 5x 3 + x 2 + 8x + 4 Calculator

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-1, -1, -1, 2, 2

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Find the zeros of y = 2x 4 - 8x 3 + 9x 2 N o Calculator

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0, 0, 2+i√2/2, 2+i√2/2

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Objectives Identify the multiplicity of roots Use the Rational Root Theorem and the Irrational Root Theorem to solve polynomial equations.

Objectives Identify the multiplicity of roots Use the Rational Root Theorem and the Irrational Root Theorem to solve polynomial equations.

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