How do you factor t^2-5t+6?

2 Answers
Apr 8, 2018

t^2 - 5t +6 = (t-2)(t-3)

Explanation:

In a trinomial with the degree 2 and with 1 as the leading coefficient, you need to find two numbers that add up to the second term and have a product that is the third term.

In this trinomial, the sum (second term) is -5 and the product (third term) is 6.
The numbers -2 and -3 satisfy the terms.
Therefore, t^2 - 5t +6 = (t-2)(t-3).

Apr 8, 2018

(t-2)(t-3)

Explanation:

"the factors of + 6 which sum to - 5 are - 2 and - 3"

rArrt^2-5t+6=(t-2)(t-3)