Question

1. $(x - 4)(x^2 - 3x + 6)$

Explanation:

Step1: Distribute $x$ to the trinomial

$x(x^2 - 3x + 6) = x^3 - 3x^2 + 6x$

Step2: Distribute $-4$ to the trinomial

$-4(x^2 - 3x + 6) = -4x^2 + 12x - 24$

Step3: Combine the two results

$x^3 - 3x^2 + 6x - 4x^2 + 12x - 24$

Step4: Combine like terms

$x^3 + (-3x^2 - 4x^2) + (6x + 12x) - 24 = x^3 - 7x^2 + 18x - 24$

Answer:

$x^3 - 7x^2 + 18x - 24$