Question

x³ - 7x + 36
(x + 4)(x² - 4x + 9)
choose an action to perform.
ways to rewrite expressions
factor common factor synthetic division

Explanation:

Step1: Apply distributive property

Multiply $x$ by each term in the trinomial:
$x \cdot x^2 = x^3$, $x \cdot (-4x) = -4x^2$, $x \cdot 9 = 9x$

Step2: Multiply constant by trinomial

Multiply $4$ by each term in the trinomial:
$4 \cdot x^2 = 4x^2$, $4 \cdot (-4x) = -16x$, $4 \cdot 9 = 36$

Step3: Combine all terms

$x^3 - 4x^2 + 9x + 4x^2 - 16x + 36$

Step4: Combine like terms

$-4x^2 + 4x^2 = 0$, $9x - 16x = -7x$
Simplified expression: $x^3 - 7x + 36$

Answer:

$x^3 - 7x + 36$