How do you factor $w^{2} - 4 w + 3$ $w^ { 2} - 4w + 3$ ?

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How do you factor $w^{2} - 4 w + 3$ $w^ { 2} - 4w + 3$ ?

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Answer 1 · 2018-03-30T08:45:07

$w = 3, 1$ $color(green)(w = 3 , 1$

Explanation:

$w^{2} - 4 w + 3 = 0$ $w^2 - 4w + 3 = 0$

$w^{2} - w - 3 w + 3 = 0$ $w^2 - w -3w + 3 = 0$

$w (w - 1) - 3 (w - 1) = 0$ $w (w -1 ) - 3 (w -1 ) = 0$

$(w - 3) \cdot (w - 1) = 0$ $(w -3) * (w -1) = 0$

$w = 3, 1$ $color(green)(w = 3 , 1$

Answer 2 · 2018-03-30T08:46:13

$(w - 1) (w - 3)$ $color(blue)((w-1)(w-3)$

Explanation:

$w^{2} - 4 w + 3$ $color(TEAL)(w^2-4w+3$
$= w^{2} - 3 w - w + 3$ $color(teal)(=w^2-3w-w+3$
$= w (w - 3) - 1 (w - 3)$ $color(teal)(=w(w-3)-1(w-3)$
$= (w - 1) (w - 3)$ $color(teal)(=(w-1)(w-3)$

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How do you factor $w^{2} - 4 w + 3$ $w^ { 2} - 4w + 3$ ?

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