Question

Multiply (x – 4)(x2 + 5x + 6)

Answer 1

(x−4)(x^2+5x+6)

=(x+−4)(x^2+5x+6)

=(x)(x^2)+(x)(5x)+(x)(6)+(−4)(x^2)+(−4)(5x)+(−4)(6)

=x3+5x^2+6x−4x^2−20x−24

=x^3+x^2−14x−24

Answer 2

x³ + x² - 14x - 24.

Explanation:

Given : (x – 4)(x² + 5x + 6).

To find : multiply.

Solution : We have given that (x – 4)(x² + 5x + 6).

Distribute the x over (x² + 5x + 6) and 4 ((x² + 5x + 6).

x (x² + 5x + 6) - 4(x² + 5x + 6).

(x³ + 5x² +6x ) -4x² - 20x - 24).

Combine like terms

x³ + 5x² - 4x² -20x +6x -24.

x³ + x² - 14x - 24.

Therefore, x³ + x² - 14x - 24.