Give the final factored form of the expression and provide an explanation.

Expression: [tex]x^2 - 8x + 12[/tex]

x 2 − 8 x + 12 = 0 ∣ w r i t e − 8 x a s − 6 x − 2 x x 2 − 6 x − 2 x + 12 = 0 x ( x − 2 ) − 6 ( x − 2 ) = 0 ( x − 6 ) ( x − 2 ) = 0 F a c t or f or m i s ( x − 6 ) ( x − 2 ) = 0.

Answered by luana | 2024-06-10

x 2 − 8 x + 12 = x 2 − 6 x − 2 x + 12 = x ( x − 6 ) − 2 ( x − 6 ) = ( x − 2 ) ( x − 6 )

Answered by konrad509 | 2024-06-10

The final factored form of x 2 − 8 x + 12 is ( x − 6 ) ( x − 2 ) . This is found by identifying two numbers that multiply to the constant term (12) and add to the linear coefficient (-8). These factors allow the expression to be expressed in a simpler form as a product of two linear expressions.
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Answered by Anonymous | 2024-12-26