Simplify (x − 4)(x2+ 5x + 2). x3 + x2 − 18x − 8 x3 + x2 + 22x − 8 x3 + 9x2 − 18x − 8 x3 + 9x2 + 22x − 8

Step-by-step explanation:

The given expression is:

We need to expand using the distributive property:

This implies that:

Regroup similar terms and simplify:

The first choice is correct.

 A) x³ + x² - 18x - 8

Step-by-step explanation:

  (x - 4)(x² + 5x + 2)

= x(x² + 5x + 2) - 4(x² + 5x + 2)

=   x³  + 5x² + 2x - 4x² - 20x - 8

=   x³ + (5x² - 4x²) + (2x - 20x) - 8

=  x³  +       x²        +     -18x      - 8