Factor x2 – 20x + 100.
Hint
20x = 2(x)(10)
Answer
(x – 10)2
Factor 36x2 + 60x + 25.
60x = 2(6x)(5)
(6x + 5)2
Factor 16x4 – 8x2 + 1.
This is a perfect square trinomial, which factors to a squared binomial.
(4x2 – 1)2
Solve x2 + 2x + 1 = 0.
(x + 1)2 = 0
x = -1
Factor x2 – 144.
A difference of squares factors to a sum and a difference.
(x + 12)(x – 12)
Factor 64x2 – 1.
(8x – 1)(8x + 1)
Solve 49x2 – 81 = 0.
Factor to (7x + 9)(7x – 9) = 0.
Solve 64x2 – 16 = 0.
Factor out a 16 first to get 16(4x2 – 1) = 0.
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