Factoring
Quadratic Formula
Modeling with Polynomials
Division and
Remainders
Quadratic Applications
100

The solutions to x2-5x-24=0


What is x=8, x=-3?

100

The quadratic formula

What is 

x=(-b +- Sqrt(b^2-4ac))/(2a)?

100

The general equation for a polynomial with zeros at x=3,-5, and 87.

(You do not need to solve for C for this question.)

What is f(x)=C(x-3)(x+5)(x-87)

100

The Polynomial remainder theorem

What is if P(a)=0, (x-a) is a factor of the Polynomial?

100

The Area equation for a rectangular plot of land that is 10 yards more than its width. The area of the land is 600 square yards.  

A=LW, L=w+10, w=w

A=(w+10)w

600=(w+10)w

0=w^2+10w-600

200

The factors of a2+8a+15

What is (a+5)(a+3)?

200

The TWO mistakes made in this quadratic formula setup for 

3x^2+7x-17

x=(-7+-sqrt(7-4(3)(17)))/(2(3))

What is 7 should be squared and 17 should be negative?

200

The setup to solve for C for a polynomial that goes through (1, 3) with zeros at x=3,-5, and 87

(You do not need to solve for C for this question.)

f(x)=C(x-3)(x+5)(x-87)

What is 3=C(1-3)(1+5)(1-87)?

200

The factor of the polynomial if P(2) = 0 

What is (x-2)?

200

The volume equation for a rectangular prism with dimensions h+4, h-1 , and h with volume of 12. 

What is V=LWH

V=(h+4)(h-1)(h)

12=(h+4)(h-1)(h)

300

The solutions to b2+11b+18=0

What is b=-9, -2?

300

The setup of the quadratic formula for m2-5m-14=0

What is 

m=(5+-sqrt(25-4(1)(-14)))/(2(1))?

300

The TWO mistakes made in this setup to find C for a polynomial that intersects the x-axis at x=3, -7, and passes through the point (87, 123).


87=C(123-3)(123-7)

What is 87 and 123 were substituted for the wrong variables (x=87, y=123) AND 123-7 should be 123+7?

300

The remainder of 

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

f(-7)=364

300

The volume equation setup for a box that has length and width that are 2 inches less than the height. If the volume of the box is 16in^2

What is V=LWH, L=w=h-2

V=(h-2)(h-2)h

16=(h-2)(h-2)h

400

The solutions to 2x2-5x-12=0

What is x=10,-3?

400

Solutions for 2m2+2m-12

What is m=3,-2?

400

The setup to find C for a polynomial that passes through the point (333, 789) and intersects the x-axis at x= -98, 2, 135, and -456

What is 789=C(333+98)(333-2)(333-135)(333+456)?

400

The remainder of   

(2x^3+4x^2-10x-12)/(x+3)

What is 0?

400

Dimensions for a rectangular plot of land that is 10 yards more than its width. The area of the land is 600 square yards. 

What is 20yards x 30yards?

500

The solutions of 3a2+8a-60

What is x=-3/8, -6?

500

Solutions for 2x2-3x-5=0

What is x=

(3+-sqrt(31))/4

500

The equation for a polynomial that goes through the point (2,8) and has zeros at x=6 and x=3

What is f(x)=2(x-6)(x-3)?

500

The quotient of 

(x^3-7x-6)/(x+2)

What is 

x^2-2x-3

500

The dimensions of a rectangular prism with L,w,h as follows: h+4, h- 1 , and h. The volume of the prism is 12 meters.

What is 2m x 6m x 1m?