Factor. 8t^3 - 16t^2 + t - 2 ______

Identify Grouping Strategy: Step Title: Identify the Grouping Strategy Concise Step Description: Group terms in the polynomial to factor by grouping. Calculation: Group the first two terms and the last two terms: (8t^3 - 16t^2) + (t - 2).Factor Out GCF: Step Title: Factor Out the Greatest Common Factor (GCF) from Each Group Concise Step Description: Factor out the GCF from each group identified in the previous step. Calculation: Factor out 8t^2 from the first group and 1 from the second group: 8t^2(t - 2) + 1(t - 2).Factor Out Common Binomial: Step Title: Factor Out the Common Binomial Factor Concise Step Description: Factor out the common binomial factor from the two groups. Calculation: The common binomial factor is (t - 2), so factor it out: (t - 2)(8t^2 + 1).

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Algebra 2

Factor polynomials

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Q. Factor.

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8t^3 - 16t^2 + t - 2

Identify Grouping Strategy: Step Title: Identify the Grouping Strategy $\newline$ Concise Step Description: Group terms in the polynomial to factor by grouping. $\newline$ Calculation: Group the first two terms and the last two terms: $(8t^3 - 16t^2) + (t - 2)$ .
Factor Out GCF: Step Title: Factor Out the Greatest Common Factor (GCF) from Each Group $\newline$ Concise Step Description: Factor out the GCF from each group identified in the previous step. $\newline$ Calculation: Factor out $8t^2$ from the first group and $1$ from the second group: $8t^2(t - 2) + 1(t - 2)$ .
Factor Out Common Binomial: Step Title: Factor Out the Common Binomial Factor $\newline$ Concise Step Description: Factor out the common binomial factor from the two groups. $\newline$ Calculation: The common binomial factor is $(t - 2)$ , so factor it out: $(t - 2)(8t^2 + 1)$ .