What is factor x^2-4x+3 ?

The solution to factor x^2-4x+3 is (x-1)(x-3)

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factor x^2-4x+3

factor

x^{2} - 4 x + 3

(x - 1) (x - 3)

Solution steps

x^{2} - 4 x + 3

Break the expression into groups

= (x^{2} - x) + (- 3 x + 3)

Factor out

x

from

x^{2} - x : x (x - 1)

Factor out

- 3

from

- 3 x + 3 : - 3 (x - 1)

= x (x - 1) - 3 (x - 1)

Factor out common term

x - 1

= (x - 1) (x - 3)

x^{2} - 8 x + 4 > - 3

\frac{x + 1}{x} > 2

9 x^{2} + 6 x + 9

2 k^{2} + 9 k + 10

∣ x + 3 ∣ < 7