Factor the four term polynomial by grouping.

10x^3-15x^2+6x-9

(5x² + 3) (2x-3)

Step-by-step explanation:

10x³ - 15x² + 6x - 9 (rearrange)

10x³ + 6x - 15x² - 9 (group using parentheses)

(10x³ + 6x) - (15x² + 9) (factor out 2x from first term and 3 from second term)

2x (5x² + 3) - 3 (5x² + 3) (factor out (5x²+3))

(5x² + 3) (2x-3) (answer)

Answer: 10x^3-15x^2+6x-9

= (2x-3) (5x^2+3)