Answer:
p = 6, q = - 1
Step-by-step explanation:
Factor the left side and compare to right side
y² + 5y - 6
Consider the factors of the constant term (- 6) which sum to give the coefficient of the y- term (+ 5)
The factors are + 6 and - 1, since
6 × - 1 = - 6 and 6 - 1 = + 5, thus
y² + 5y - 6 = (y + 6)(y - 1)
Compare with (y + p)(y + q) , then
p = 6 and q = - 1