Question

question
expand the expression to a polynomial in standard form:
$(3x + 4)(x^2 - 3x - 3)$

Explanation:

Step1: Distribute $3x$ to each term

$3x \cdot x^2 + 3x \cdot (-3x) + 3x \cdot (-3)$
$= 3x^3 - 9x^2 - 9x$

Step2: Distribute $4$ to each term

$4 \cdot x^2 + 4 \cdot (-3x) + 4 \cdot (-3)$
$= 4x^2 - 12x - 12$

Step3: Combine all expanded terms

$3x^3 - 9x^2 - 9x + 4x^2 - 12x - 12$

Step4: Combine like terms

$3x^3 + (-9x^2 + 4x^2) + (-9x - 12x) - 12$
$= 3x^3 - 5x^2 - 21x - 12$

Answer:

$3x^3 - 5x^2 - 21x - 12$