Question

factor completely.

\\16s - 3s^2 + 6s^3 - 8\\

Explanation:

⚡ Using what you learned: Factoring by Grouping

Step 1: Rearrange terms

Rearrange the polynomial in descending order of powers:

$$ 6s^3 - 3s^2 + 16s - 8 $$

Step 2: Group terms

Group the first two terms and the last two terms:

$$ (6s^3 - 3s^2) + (16s - 8) $$

Step 3: Factor out GCF from each group

Factor out \( 3s^2 \) from the first group and \( 8 \) from the second group:

$$ 3s^2(2s - 1) + 8(2s - 1) $$

Step 4: Factor out the common binomial

Factor out the common binomial factor \( (2s - 1) \):

$$ (2s - 1)(3s^2 + 8) $$

Answer:

$$ (2s - 1)(3s^2 + 8) $$