How do you factor completely t^2-4t+3?

2 Answers
EZ as pi
Jun 12, 2016

(x - 3)(x -1)

Explanation:

Find factors of 3 which add up to 4.
THe signs in the brackets will be the same (because of the +) they are both negative. (because of -4)

(x - 3)(x - 1)

Shwetank Mauria
Jun 12, 2016

t^2-4t+3=(t-1)(t-3)

Explanation:

To factorize t^2-4t+3, we should split the middle term -4 in two parts whose product is product of coefficients of other two terms i.e 1xx3=3. These are -3 and -1. Hence,

t^2-4t+3

= t^2-3t-t+3

= t(t-3)-1(t-3)

= (t-1)(t-3)

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