# How do you find the product of (x+7)(x+4)?

Mar 20, 2018

${x}^{2} + 11 x + 28$

#### Explanation:

We have two binomials, so we can use the highly useful mnemonic FOIL to helps us:

• Multiply the first terms: $x \cdot x = \textcolor{b l u e}{{x}^{2}}$
• Multiply the outside terms: $x \cdot 4 = \textcolor{b l u e}{4 x}$
• Multiply the inside terms: $7 \cdot x = \textcolor{b l u e}{7 x}$
• Multiply the last terms: $7 \cdot 4 = \textcolor{b l u e}{28}$

Thus, $\left(x + 7\right) \left(x + 4\right)$ multiplies out to ${x}^{2} + 4 x + 7 x + 28$, which can be simplified to:

${x}^{2} + 11 x + 28$

Hope this helps!