How do you factor #x^2-4x+3#?

1 Answer
Jun 4, 2016

x=1, 3

Explanation:

you start by finding a number that multiplies to 3 and adds to -4. they will both be negative as the product is positive and the sum negative. your numbers are -1 and -3. split up the 4x so that you can factor the equation further.

#x^2-4x+3#

#x^2-x-3x+3#

#x(x-1)-3(x-1)#

#(x-3)(x-1)#

#x=3# or #1#