Answer:
(p - 5)(p + 1)
Step-by-step explanation:
Given
p² - 4p - 5
Consider the factors of the constant term (- 5) which sum to give the coefficient of the x- term (- 4)
The factors are - 5 and + 1 , since
- 5 × + 1 = - 5 and - 5 + 1 = - 4, then
p² - 4p - 5 = (p - 5)(p + 1) ← in factored form
The standard form of a trinomial is
ax² + bx + c ( a ≠ 0 )
p² - 4p - 5 ← is in standard form
with a = 1, b = - 4 and c = - 5
