Factor. 6z^3 - 3z^2 - 16z + 8 ______

Grouping for Factoring: Group the terms into two pairs to prepare for factoring by grouping. Group the first two terms and the last two terms separately. 6z^3 - 3z^2 and -16z + 8Factor First Group: Factor out the greatest common factor from the first group. The greatest common factor of 6z^3 and 3z^2 is 3z^2. 3z^2(2z - 1)Factor Second Group: Factor out the greatest common factor from the second group. The greatest common factor of -16z and 8 is -8. -8(2z - 1)Common Factor Observation: Observe that both groups now have a common factor of (2z - 1). Write the expression as a product of (2z - 1) and another factor. (3z^2 - 8)(2z - 1)

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Algebra 2

Factor by grouping

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Q. Factor.

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6z^3 - 3z^2 - 16z + 8

Grouping for Factoring: Group the terms into two pairs to prepare for factoring by grouping. Group the first two terms and the last two terms separately. $6z^3 - 3z^2$ and $-16z + 8$
Factor First Group: Factor out the greatest common factor from the first group. $\newline$ The greatest common factor of $6z^3$ and $3z^2$ is $3z^2$ . $\newline$ $3z^2(2z - 1)$
Factor Second Group: Factor out the greatest common factor from the second group. $\newline$ The greatest common factor of $-16z$ and $8$ is $-8$ . $\newline$ $-8(2z - 1)$
Common Factor Observation: Observe that both groups now have a common factor of $(2z - 1)$ . $\newline$ Write the expression as a product of $(2z - 1)$ and another factor. $\newline$ $(3z^2 - 8)(2z - 1)$