Question

use the foil method to find the product below.
$(x - 6)(x^2 + 4x)$
a. $x^3 - 2x^2 - 24x$
b. $x^3 - 2x^2 - 24$
c. $x^3 - 10x^2 - 24$
d. $x^3 - 10x^2 - 24x$

Explanation:

Step1: Apply FOIL (First, Outer, Inner, Last)

First: \( x \cdot x^2 = x^3 \)
Outer: \( x \cdot 4x = 4x^2 \)
Inner: \( -6 \cdot x^2 = -6x^2 \)
Last: \( -6 \cdot 4x = -24x \)

Step2: Combine like terms

Combine the \( x^2 \) terms: \( 4x^2 - 6x^2 = -2x^2 \)
Now, combine all terms: \( x^3 - 2x^2 - 24x \)

Answer:

A. \( x^3 - 2x^2 - 24x \)