Simplify the following polynomial expression.

Answer:
3x² - 10x + 8
Step-by-step explanation:
(5x² + 13x - 4) - (17x² + 7x - 19) + (5x - 7)(3x + 1)
Distribute the first 2 parenthesis and expand the product of factors using FOIL
= 5x² + 13x - 4 - 17x² - 7x + 19 + 15x² - 16x - 7 ← collect like terms
= 3x²- 10x + 8