PolyYESmials
Factoring Factory
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100

Give the type of polynomial for each:

a. x2+5x

b. 875d4e6f

c. 29x+31x

d. 6y5-4y+22

Give the type of polynomial for each:

a. x2+5x (BINOMIAL)

b. 875d4e6f (MONOMIAL)

c. 29x+31x (MONOMIAL)

d. 6y5-4y+22 (TRINOMIAL)

100

Factor:

8d^3-12d^2

4d^2(2d-3)

100

If it takes a car 20 minutes to travel 80 miles. What is it's speed in miles per hour?

240 miles per hour

100

Simplify. Give restrictions.

(x(x-8))/(2x-3x)

x-8  "x cannot equal 0"

200

Simplify  (x^2 + 2xy^2)+(4x^2 + 8y^2) 



 5x^2+2xy^2+8y^2 

200

Factor:

w^2-169

(w+13)(w-13)

200

At 9:00 am, Terry leaves his house, walking at 20 km/h. Sally leaves 6 hours later, on a scooter, to catch up with him. She rides at 80 km/h. How long will it take her to catch up with him? 



It will take Sally 2 hours to catch up with Terry.


200

Simplify. Give restrictions.

(d^2-10d+16)/(d^2-64)

(d-2)/(d+8)      "d cannot equal 2, -8"

300

Multiply  (4c-2d)^2 



 16c^2-16cd+4d^2 

300

Factor

 b^2+34b-72 

(b-2)(b+36) 

300

Two trains start at the same time from the same place and travel in opposite directions. If the speed of one is 6 km/h more than the speed of the other and they are 168 km apart after 30 minutes, what is the speed of each train?


The speed of the slower train is 165 km/h and the speed of the faster train is 171 km/h.

300

Simplify. Assume non-zero denominators.

(4n^2p)/(6n) * (-12p)/5

-(8np^2)/5

400

"Simplify"

(8n^2-4n+5)-(-3n^2-2n+14)

11n^2-2n-9

400

"Factor"

36a^4-24a^2+4

4(3a^2-1)^2

400

A rectangular photograph measures 5 inches long by 3 inches wide. You want to place it inside a frame that adds a uniform border of width  x all the way around the photo.

If the total area of the framed picture is 35 square meters (or square inches!), what is the width x of the frame?

The width of the frame is 1 inch

400

Simplify.

(d^2-49)/(d^2+6d+5)*(d+1)/(2d-14)

Simplify.

(d^2-49)/(d^2+6d+5)*(d+1)/(2d-14)

(d+7)/(2d+10)

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