Graphing Polynomial Equations
Use the graphing calculator to find the zeros of the function: f(x) = x2+6x+5
x=-5, x=-1
Factor: 32x3-20x
4x(8x2-5)
Factor completely: 3x2-48
3(x+4)(x-4)
Factor: 4x2-49
(2x+7)(2x-7)
The length of a rectangle is 8 inches more than the width. The area of the rectangle is 48in2. Determine the dimensions of the rectangle.
length = 12 in.
width = 4 in.
Use the graphing calculator to find the zeros of the function: f(x) = 18x3-63x2+27x
x = 0, x=1/2, x=3
Factor by grouping:
6x2-15x+4x-10
Factor completely:2x2-2x-84
2(x-7)(x+6)
Factor:9x2+24x+16
(3x+4)2
The product of two positive consecutive integers is 156. What are the two consecutive integers?
12 and 13
Use the graphing caclulator to solve:
2x2-3=5
x=2, x=-2
Factor: x2-8x+12
(x-6)(x-2)
Factor completely: -6x3+27x2-12x
-3x(2x-1)(x-4)
Factor: 25x2-60xy+36y2
(5x-6y)2
Jason jumped off of a cliff into the ocean in Acapulco His height as a function of time could be modeled by the function h(t) = -16t2+16t+480, where t is the time in seconds and h(t) is the height in feet.
How long will it take for Jason to hit the water?
t= 6 seconds
2x(4x+5)=7
x = 1/2 , x = -7/4
Factor: 4x2-x-5
(4x-5)(x+1)
Factor completely: 30x4+8x3-8x2
2x2(3x+2)(5x-2)
Factor: x4-16
(x+2)(x-2)(x2+4)
Jason jumped off of a cliff into the ocean in Acapulco His height as a function of time could be modeled by the function h(t) = -16t2+16t+480, where t is the time in seconds and h(t) is the height in feet.
How long after jumping will Jason's height be 288 feet?
t = 4 seconds
Use a graphing calculator to find any solution(s) that exist, accurate to two decimal places for the following equation: x2+5x-4=0
x=0.70, x=-5.70
Factor: 8x2+6x-27
(2x-3)(4x+9)
Factor completely:-48x4+243
-3(2x-3)(2x+3)(4x2+9)
Factor: 36x2+25
prime
The cost, C(x), for manufacturing x water sprinklers is given by the equation C(x) = x2 - 27x - 20. Determine the number of water sprinklers manufactured at a cost of $70.
x = 30 water sprinklers