Question

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

Answer 1

Answer: A) x³ + x² - 18x - 8

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

Answer 2

`{x}^(3) + {x}^(2) - 18x - 8`

Explanation:

The given expression is:

`(x - 4)( {x}^(2) + 5x + 2)`

We need to expand using the distributive property:

`x( {x}^(2) + 5x + 2) - 4( {x}^(2) + 5x + 2)`

This implies that:

`{x}^(3) + 5 {x}^(2) + 2x - 4 {x}^(2) - 20x - 8`

Regroup similar terms and simplify:

`{x}^(3) + {x}^(2) - 18x - 8`

The first choice is correct.