\#1/16 Multiplying Polynomials $$ \begin{array}{l}(x+4)(x+2) \ x^{2}+8 x+8 \ x^{2}+6 x+6 \ ext { none of these is the answer } \ x^{2}+6 x+8\end{array} $$

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\#1/16 Multiplying Polynomials $$ \begin{array}{l}(x+4)(x+2) \ x^{2}+8 x+8 \ x^{2}+6 x+6 \ 	ext { none of these is the answer } \ x^{2}+6 x+8\end{array} $$

UpStudy AI · Accepted Answer

To multiply the polynomials $$ (x + 4)(x + 2) $$, follow these steps using the distributive property (also known as the FOIL method for binomials):

$$
\begin{align*}
(x + 4)(x + 2) &= x \cdot x + x \cdot 2 + 4 \cdot x + 4 \cdot 2 \
&= x^2 + 2x + 4x + 8 \
&= x^2 + (2x + 4x) + 8 \
&= x^2 + 6x + 8
\end{align*}
$$

**Therefore, the correct answer is:**
$$
x^2 + 6x + 8
$$

**Among the given options:**

1. $$ x^{2} + 8x + 8 $$
2. $$ x^{2} + 6x + 6 $$
3. None of these is the answer
4. $$ x^{2} + 6x + 8 $$

**The correct choice is:**
$$
\boxed{x^{2} + 6x + 8}
$$
The product of $$ (x + 4)(x + 2) $$ is $$ x^2 + 6x + 8 $$.

#1/16 Multiplying Polynomials

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