Factoring Special Polynomials Day II
Directions: Factor each polynomial completely.
1) 3y2 + 24y + 48
2) 25x3 – 100x
3) 2r3 – 36r2 + 162r
4) 32c4 – 25c2
5) 45a2 – 60a + 20
6) – 4x2 + 9
7) –9x4 + 9y4
8) 49x5 – 42x4y +9x3y2
9) 36x2 – 84x + 49
10) if a Square has an area of x2 +10x + 25 in2, what are the measurements of the base and height?
11) A rectangle has a base of 3x – 4 inches and a height of 3x + 4 inches. What is the area of the
rectangle?
12) Calculate the area of the shaded region below.
Y cms
X centimeters
Y cms
X centimeters
13) A construction company is building a square fountain within a square platform. The diagram below
shows what the completed project will look like with dimensions. (The fountain is shaded.)
X + 4 cms
X + 4 cms
A)
B)
C)
D)
What is the area of the platform including the fountain?
What is the area of just the fountain?
What is the area of the platform without the fountain?
What is factored area of the platform without the fountain?
KEY
2) 25x(x +2)(x –2)
3) 2r(r – 9)2
4) 2c2(32c2 – 25)
5) 5(3a – 2)2
6) (3 – 2x)(3 + 2x)
7) –9(y2 + x2)(y + x)(y – x)
8) x3(7x – 3y)2
9) (6x – 7)2
1) 3(Y + 4)(Y + 4)
10) base: x + 5 in
11) 9x2 – 16 inches2
12) x2 – y2
13) A) x2 + 8x + 16 cm2
B) x2 – 2x + 1 cm2
C) 10x + 15 cm2
D) 5(2x + 3) cm2
ht: x + 5 in