When factored completely, x^3- 13x^2_ 30x is
x(x - 2) (x + 15)
X(X - 3)(x - 10)
x(x + 3)(x - 10)
x(x + 2) (x - 15)

d

Step-by-step explanation:

Given

x³ - 13x² - 30x ← factor out x from each term

= x(x² - 13x - 30) ← factor the quadratic

Consider the factors of the constant term (- 30) which sum to give the coefficient of the x- term (- 13)

The factors are - 15 and + 2, since

- 15 × 2 = - 30 and - 15 + 2 = - 13, thus

x² - 13x - 30 = (x + 2)(x - 15) and

x³ - 13x² - 30x = x(x + 2)(x - 15) → d

let m = monomial

let t = trinomial

so, m times t = t.

monomial times a trinomial = another trinomial.