Question

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

Answer 1

`x^2+11x+28`

Explanation:

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

• Multiply the first terms: `x*x= color(blue)(x^2)`
• Multiply the outside terms: `x*4=color(blue)(4x)`
• Multiply the inside terms: `7*x=color(blue)(7x)`
• Multiply the last terms: `7*4=color(blue)(28)`

Thus, `(x+7)(x+4)` multiplies out to `x^2+4x+7x+28`, which can be simplified to:

`x^2+11x+28`

Hope this helps!