Answer:
- x² + 7x + 13
Explanation:
a parabola in standard form id expressed as
ax² + bx + c ( a≠ 0 )
given
(x + 1)² - (2x + 3)(x - 4) ← expand factors using FOIL
= x² + 2x + 1 - (2x² - 5x - 12) ← distribute parenthesis by - 1
= x² + 2x + 1 - 2x² + 5x + 12 ← collect like terms
= - x² + 7x + 13 ← in standard form