special cases
400n2 - 121
(20n + 11)(20n - 11)
x2 -19xy +48y2
(x - 16y)(x - 3y)
x2 + 3x - 4
(x + 4)(x - 1)
4y2 + 32y + 55
(2y + 11)(2y +5)
3w2 - 6w - 24
3(w + 2)(w - 4)
The expression 81x2 - 36 can be factored as
9(ax + b)(ax - b).
What is the mean of a and b?
2.5
x2 - 2x + 1
(x - 1)2
x2 - 18x - 40
(x - 20)(x + 2)
45x4 - 60x2y + 20y2
5(3x2 - 2y)2
21m2 - 20m - 9
(7m - 9)(3m + 1)
81r10 + 198r5 + 121
(9r5 + 11)2
b2 + 29bc +100c2
(b + 25c)(b + 4c)
p3 - 15p2 - 54p
p(p + 3)(p - 18)
108g2h - 162gh + 54h
54h(2g - 1)(g - 1)
p6 + 14p3 - 72
(p3 - 4)(p3 + 18)
p. 532 # 67: The area of a square with sides (ax + b) is 4x2 + 28x + 49.
What is the sum of a and b?
9
p4 - 40p2q + 400q2
(p2 - 20q)2
p6 + 14p3 - 72
(p3 - 4)(p3 + 18)
(1/4)p2 - 2p + 4
((1/2)p - 2)2
For what value of a does
(1/144)x4 - 121 =
(ax2 + 11)(ax2 - 11)?
1/12
factor completely:
16 - 81n4
(4 + 9n2)(4 - 9n2) -->
(4 + 9n2)(2 - 3n)(2 + 3n)
p. 522 #55: Write the standard form for the polynomial modeled in the picture. Factor the polynomial.
(SEE PICTURE)
4x2 + 12x + 5
(2x + 1)(2x + 5)
x12 - 19x6y4 - 120y8
(x6 - 24y4)(x6 + 5y4)
Page 533 # 70
(see PICTURE)
5
For what value of p would 3(2x + p)(5x - p) be the factored form of 30x2 + 18x - 12?
2