Answer:
quadratic
Step-by-step explanation:
Given
x²y - 2xy - 24y ← factor out y from each term
= y(x² - 2x - 24) ← quadratic factor
To factor the quadratic
Consider the factors of the constant term ( - 24) which sum to give the coefficient of the x- term (- 2)
The factors are - 6 and + 4, since
- 6 × 4 = - 24 and - 6 + 4 = - 2, hence
x² - 2x - 24 = (x - 6)(x + 4) and
x²y - 2xy - 24y = y(x - 6)(x + 4) ← in factored form
