Question

factor by grouping.

\\3t^4 - 2t^3 - 9t + 6\\

\\3t^4 - 2t^3 - 9t + 6 = \square\\

Explanation:

⚡ Using what you learned: Factoring by Grouping

Step 1: Group the terms

Group the first two terms and the last two terms:

$$ (3t^4 - 2t^3) - (9t - 6) $$

Step 2: Factor out the GCF from each group

Factor out \( t^3 \) from the first group and \( 3 \) from the second group:

$$ t^3(3t - 2) - 3(3t - 2) $$

Step 3: Factor out the common binomial

Factor out the common binomial factor \( (3t - 2) \):

$$ (3t - 2)(t^3 - 3) $$

Answer:

$$ (3t - 2)(t^3 - 3) $$