Show:
Difference of Two Squares and
Trinomial Squares
Positive and Negative Last Term
Trial and Error
Factor by Grouping
Solve by Factoring
100
4v^6 - 9
What is (2v^3 + 3)(2v^3 - 3) ?
100
n^2 - 17n + 60
What is (n - 12)(n - 5) ?
100
6m^2 + m - 1
What is (3m - 1)(2m + 1) ?
100
e(f - g) - 4(f - g)
What is (e - 4)(f - g) ?
100
Solve: 5z^2 = 80
What is z = 4 and -4 ?
200
25u^2 - 10u + 1
What is (5u - 1)^2 ?
200
r^2 + 18r - 63
What is (r + 21)(r - 3) ?
200
3r^2 - 5rs + 2s^2
What is (r - s)(3r - 2s) ?
200
ab - 2b + ac - 2c
What is (a - 2)(b + c) ?
200
Solve: 6n^2 + 11n = 10
What is n = 2/3 and -5/2 ?
300
144 + 12y + y^2
What is prime?
300
1 - 11ab - 12a^2b^2
What is (1 - 12ab)(1 + ab) or -1(12ab - 1)(ab + 1)
300
7x^2 - 11xy - 6y^2
What is (7x + 3y)(x - 2y) ?
300
7(r - s) + t(s - r)
What is (7 - t)(r - s)
300
Solve: 18y^2 + 8 = 24y
What is y = 2/3 ?
400
4x^2 - 36y^2
What is 4(x + 3y)(x - 3y)?
400
Factor completely: m^4 - 24m^2 - 25
What is (m^2 + 1)(m + 5)(m - 5) ?
400
7p^2 + 24p + 12
What is prime?
400
(3t - 3st) + (rs - r)
What is (3t - r)(1 - s) ?
400
If a number is subtracted from its square, the result is 30. Find the number.
What is x = 6 and -5 ?
500
(x + y)^2 - 25z^2
What is (x + y + 5z)(x + y - 5z)?
500
Factor completely: -6c^3 + 8c^2 + 8c
What is -2c(3c + 2)(c - 2) ?
500
21c^2 + 22c - 24
What is (3c - 2)(7c + 12) ?
500
p^3 - 2p^2 + 4p - 8
What is (p^2 + 4)(p - 2) ?
500
Find two consecutive positive even integers whose product is 224.
What are 14 and 16?