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Question
Prove by factor theorem that
(x-2) is a factor of 2x3- 7x -2
Solution
(x-2) is a factor of 2x3- 7x -2
x - 2 = 0 ⇒ x = 2
Substituting this value, we get
f{2) = 2 x 2 x 2 x 2 - 7 x 2 - 2 = 0
Hence (x - 2 ) is a factor of 2 × 3- 7x - 2
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