Answer:
y + 3
Step-by-step explanation:
Let P₁ = 3y³ + 39y² + 90y
and P₂ = y² - 7y - 30
Factor P₁
P₁ = 3y³ + 39y² + 90y
Remove the common factor 3y
P₁ = 3y(y² + 13y + 30)
Factor the quadratic
P₁ = 3y(y + 3)(y + 10)
Factor P₂
P₂ = y² - 7y - 30
P₂ = (y + 3)(y - 10)
The common binomial factor of P₁ and P₂ is y + 3.
