Adding, Subtracting, and Multiplying Polynomials
Name the Pattern/Solving in Factored Form
Factoring
Factoring Special Products
Factoring Polynomials
100

Classify the polynomial x2 + 2

Binomial

100

Name the special product pattern (6x+4y)2

Square of a binomial

100

Factor p2+2p-35

(p+7)(p-5)

100

x2-9

(x+3)(x-3)

100

Factor x3+4x2-3x-12

(x+4)(x2-3)

200

Identify the leading coefficient 3x2-3x3+1

-3

200

Name the special product pattern (2x+3)(2x-3y)

Sum and difference pattern

200

Factor z2-4z-21

(z+3)(z-7)

200

y2-100

(y+10)(y-10)

200

Factor n3-9n

n(n+3)(n-3)

300

Find the sum (x2+6x-5)+(2x2+15)

3x2+6x+10

300

Solve the polynomial x2+5x=0

x=0, x=-5

300

Factor (3t2+16t-12)

(t+6)(3t-2)

300

z2-6z+9

(z-3)2

300

x2-3x+4ax-12a

2x2(x2+x-10)

400

Find the difference (p+7)-(6p2+13p)

-6p2-12p+7

400

Solve the polynomial (z+3)(z-7)=0

z=-3, z=7

400

Factor -2y2+7y-6

-(y-2)(2y-3)

400

m2+16m+64

(m+8)2

400

Solve z3+3z2-25z-75=0

z=-3, z=5, z=-5

500

(p+4)2

p2+8p+16

500
Solve the polynomial 2y(y-9)(y+4)

y=0, y=9, y=-4

500

Factor 10a2-13a-3

(2a-3)(5a+1)

500

502-402

900

500

A box in the shape of a rectangular prism has a volume of 96 cubic feet. The box has a length of (x+8) feet, a width of x feet, and a height of (x-2) feet. Find the dimensions of the box (length, width, height)

L=12ft   W=4ft   H=2ft
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