expand the expression to a polynomial in standard form: $(-3x - 4)(x^2 + 3x - 5)$

Question

Accepted Answer

# Explanation:
## Step1: Apply distributive property (FOIL for polynomials)
Multiply $-3x$ by each term in $(x^2 + 3x - 5)$ and $-4$ by each term in $(x^2 + 3x - 5)$:
$$
\begin{align*}
-3x(x^2 + 3x - 5) - 4(x^2 + 3x - 5)&= -3x\cdot x^2 - 3x\cdot 3x + (-3x)\cdot (-5) - 4\cdot x^2 - 4\cdot 3x + (-4)\cdot (-5)\
\end{align*}
$$
## Step2: Simplify each term
Simplify the products:
$$
\begin{align*}
&-3x^3 - 9x^2 + 15x - 4x^2 - 12x + 20\
\end{align*}
$$
## Step3: Combine like terms
Combine the $x^2$ terms and the $x$ terms:
$$
\begin{align*}
&-3x^3 + (-9x^2 - 4x^2) + (15x - 12x) + 20\
&= -3x^3 - 13x^2 + 3x + 20
\end{align*}
$$
# Answer:
$-3x^3 - 13x^2 + 3x + 20$

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QUESTION IMAGE

Question

Explanation:

Step1: Apply distributive property (FOIL for polynomials)

Step2: Simplify each term

Step3: Combine like terms

Answer: