3x² - 2x + 15x - 10 can be factored by grouping as:
3x² - 2x + 15x - 10
= (3x - 2)(x + 5)
Step-by-step explanation:
Group the first two terms and the last two terms together:
(3x² - 2x) + (15x - 10)
Factor out the GCF from each group:
3x(x - (2/3)) + 5(3x - 2)
Now we have a common factor of (3x - 2):
(3x - 2)(x + 5)