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Factor. $\newline$ $s^2 - 4s + 3$

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Factor quadratics

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Q. Factor.

\newline

s^2 - 4s + 3

Identify Form: Identify the form of the quadratic trinomial, which is $s^2 - 4s + 3$ .
Find Numbers: Look for two numbers that multiply to $3$ (the constant term) and add up to $-4$ (the coefficient of the linear term).
Calculate Numbers: The numbers are $-1$ and $-3$ because $-1 \times -3 = 3$ and $-1 + -3 = -4$ .
Write Factored Form: Write the factored form using the two numbers found: $(s - 1)(s - 3)$ .
Check Factored Form: Check the factored form by expanding: s - \(1)(s - $3$ ) = s^ $2$ - $3$ s - s + $3$ = s^ $2$ - $4$ s + $3$ \.

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