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15 May, 12:37

Question 13

Factor the trinomial, if possible. If the trinomial cannot be factored using integers, write prime.

t2 - 2t + 4

a) (t - 4) (t - 4)

b) (t + 4) (t + 2)

c) prime

d) (t + 4) (t - 2)

+4
Answers (1)
  1. 15 May, 12:41
    0
    Step-by-step explanation:

    Try completing the square: t^2 - 2t + 1 - 1 + 4 becomes (t - 1) ^2 + 3. If we set this equal to zero we get (t - 1) ^2 = - 3. Normally we'd take the square root of both sides, but because that - 3 is negative, this is not possible, and the square root of positive 3 is not integer. Thus, the correct response here is "prime."
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