Factor. 20t^3 + 4t^2 - 15t - 3 ______

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. (20t^3 + 4t^2) + (-15t - 3)Factor out GCF from each group: Factor out the greatest common factor from each group. From the first group, factor out 4t^2. 4t^2(5t + 1) From the second group, factor out -3. -3(5t + 1) Now we have: 4t^2(5t + 1) - 3(5t + 1)Factor out common binomial factor: Factor out the common binomial factor (5t + 1). (5t + 1) is common to both terms, so we can factor it out. (5t + 1)(4t^2 - 3)

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Factor. $\newline$ $20t^3 + 4t^2 - 15t - 3$

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Q. Factor.

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20t^3 + 4t^2 - 15t - 3

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. $20t^3 + 4t^2$ + $-15t - 3$
Factor out GCF from each group: Factor out the greatest common factor from each group. $\newline$ From the first group, factor out $4t^2$ . $\newline$ $4t^2(5t + 1)$ $\newline$ From the second group, factor out $-3$ . $\newline$ $-3(5t + 1)$ $\newline$ Now we have: $\newline$ $4t^2(5t + 1) - 3(5t + 1)$
Factor out common binomial factor: Factor out the common binomial factor $5t + 1$ . $5t + 1$ is common to both terms, so we can factor it out. $5t + 1$ $(4t^2 - 3)$