Model how to factor the polynomial \(2x^3 - 8x^2 + 3x - 12\) step by step.

2 x 3 − 8 x 2 + 3 x − 12 = 2 x 2 ( x − 4 ) + 3 ( x − 4 ) = ( x − 4 ) ( 2 x 2 + 3 )

Answered by Lilith | 2024-06-10

To factor the polynomial 2 x 3 − 8 x 2 + 3 x − 12 , group the terms, factor out common factors, and then factor the common binomial. The final factored form is ( x − 4 ) ( 2 x 2 + 3 ) . This polynomial can no longer be factored further with real numbers.
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Answered by Lilith | 2024-12-23