Word Problems
Quadratics
Division
Solutions
Mystery
200
Among all the rectangles whose perimeters are 80ft, find the dimensions of the one with the maximum area.
What is?
X= 20
Max area: 400
200
State the translation
f(x)= 2(x+3)2+4
What is?
left 3
vertical stretch by 2
up 4
200
Divide (4x3-8x2+2x-1) by (2x+1) using long division
What is?
2x2-5x+7/2
R: -9/2/2x+1
200
Find zeros algebraically
f(x)= 5x3-5x2-10x
What is?
0, -1,2
200
Find the derivative if f(x)=g(x) + h(x), then f'(x)=g'(x)+h'(x)
What is?
f'(x)=4x3+3x2+3+0
400
The woodland jumping mouse can hop surprisingly long distances given its small size. A relatively long hop can be modeled by
y=-2x(x-6)/9
Where x and y are measured in feet. How far can woodland jumping mouse hop? How High can it hop?
What is?
far = 6 ft
high= 2ft
400
State the vertex and AOS
f(x)= (sqrt 3)-(x-5)2
What is?
V (-5/6, -13/12)
Aos: x=-5/6
400
Factor the expression into linear factors (Synthetically)
2x4-7x3-23x2+43x-15
What is?
(x+3)(2x-1)(x-5)(x-1)
400
Find the zeros algebraically.
f(x)=3x3-x2-2x
What is?
0, -2/3, 1
400
Find possible positive, negative, and imaginary solutions.
f(x)=x4-2x3+7x2+4x-15
What is?
+ = 3,1
-=1
i=0,2
600
You have made a rectangular stained glass window that is 2 feet by 4 feet. You have 7 square feet of clear glass to create a border of uniform width around the window. What should the width of the border be?
What is?
1/2 feet or 6 inches
600
Write the equation in vertex form
v: (-2,-5)
point (0,-27)
What is?
y=-11(x+2)2-5
600
Solve Synthetically
Divide (6x4+4x3+9x+2x+3) by (2x2+1)
What is?
3x2+2x+3
600
Find the polynomial function with the given zeros
5, 1+sqrt3, 1-sqrt3
What is?
x3-7x2+8x+10
600
Find all zeros of f(x) and write a linear factorization of f(x)
f(x)=x4+13x2-48x
4i is a zero
What is?
(x-4i)(x+4i)(x+sqrt 3)(x- sqrt 3)
800
You have 240 feet of wooden fencing to form two adjacent rectangular corrals as shown. You want each corral to have an area of 1000 square feet. Solve for w and find the possible dimensions of each corral.
What is?
50x20 and 10x100
w= 120-2l
800
Algebraically find the zeros, vertex, and line of symmetry, then graph the quadratic
What is?
V (-8,74)
Aos: x=8
X=-8 +/- (sqrt74)
800
Use a graph of the function to help suggest one factor, then find all the factors and confirm algebraically
f(x)= 2x2-6+x3-13x
What is?
3, (-5 +/_ sqrt 17 /2)
800
Find polynomial function
-has to have leading coefficient of two
- Zeros: -2, 1, 4
-Degree: 3
What is?
F(x)=2x3-6x2-12x+16
800
((sqrt -2)+2i)(6+5i)
What is?
-(10+(5 sqrt 2)) + (12+(6 sqrt 2))i