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)

Question

Mathematics

Dominique Ho

30 October, 12:02

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)

+2

Answers (1)

Know the Answer?

Henry Richardson · Answer 1

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."

Question 13Factor the trinomial, if possible. If the trinomial cannot be factored using integers, write prime.t2 - 2t + 4a) (t - 4) (t - 4)b) (t + 4) (t + 2)c) primed) (t + 4) (t - 2)

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)