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Adding and Subtracting
Multiplying and Factoring
Multiplying Binomials
Special Cases
Factoring and Grouping
100
12p^2+8p^2
What is 20p^2
100
7x(x+4)
What is 7x^2+28x
100
(3p+4)(2p+5)
What is 6p^2+23p+20
100
(v+6)(v-6)
What is v^2-36
100
r^2+19rs+90s^2
What is (r+9s)(r+10s)
200
2m^3n^3+9m^3n^3
What is 11m^3n^3
200
4x(2x^3-7x^2+x)
What is 8x^4-28x^3+4x^2
200
(x+4)(4x-5)
What is 4x^2+11x-20
200
(2a+b)^2
What is 4a^2+4ab+b^2
200
66k^2+57k+12
What is 3(11k+4)(2k+1)
300
(6x^2+7)+(3x^2+1)
What is 9x^2+8
300
Find the GCF of 12x+20
What is 4
300
(b-3)(b-9)
What is b^2-12b+27
300
(a-6b)(a+6b)
What is a^2-36b^2
300
w^2+15w+44
What is (w+4)(w+11)
400
(6x^3+17)-(4x^3+9)
What is 2x^3+8
400
Factor. 14x^3-2x^2+8x
What is 2x(7x^2-x+4)
400
(9z+4)(5z-3)
What is 45z^2-7z-12
400
w^2-144
What is (w+12)(w-12)
400
3w^4-2w^3+18w^2-12w
What is w(w^2+6)(3w-2)
500
The perimeter of a triangular park is 16x+3. What is the missing length? What is the sum of the two given side lengths? The side lengths are 2x+5 and 5x-1.
What is 9x-1
500
A circular mirror is surrounded by a square metal frame. The radius of the mirror is 5x. The side length of the metal frame is 15x. What is the area of the metal frame? Write your answer in factored form.
What is 25x^2(9-pi)
500
A school's rectangular athletic field currently has a length of 125 yards and a width of 75 yards. The school plans to expand both the length and the width of the fields by x yards. What polynomial in standard form represents the area of the expanded athletic field?
What is x^2+200x+9375
500
Factor. 27x^2+90x+75
What is 3(3x+5)^2
500
4d^3-6d^2+16d-24
What is 2(d^2+4)(2d-3)