Question

factor completely.

\\4q^3 - 5q^2 + 8q - 10\\

Explanation:

⚡ Using what you learned: Factoring by Grouping

Step 1: Group terms

$$ (4q^3 - 5q^2) + (8q - 10) $$

Step 2: Factor out GCF from each group

$$ q^2(4q - 5) + 2(4q - 5) $$

Step 3: Factor out the common binomial

$$ (4q - 5)(q^2 + 2) $$

Answer:

$$ (4q - 5)(q^2 + 2) $$