Question

factor x^2-4x+3

Answer 1

Step 1: find two numbers such that when you multiply them together, the product is 3 and when you add them together the sum is -4

-1 and -3 work

(-1) * (-3) = 3
(-1) + (-3) = -4

Therefore:

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

Step 2: Determine when this equation is equal to zero


This is true when x-1=0 and/or x-3=0

Therefore

x= 1, 3

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