Question

< B.5 14. Multiply & simplify: (3x + 4)(x + 1)​

Answer 1

`3x^2+7x+4`

Explanation:

Using FOIL (First, outer, inner, last)

First, we multiply 3x and x to get
`3x^2` (First)

We then multiply 3x and 1 to get
`3x` (outer)

Then 4 and x to get
`4x` (Inner)

Then multiply 1 and 4 to get
`4` (last)

Since the quadratics are all positive, we add all the terms together to get:

`3x^2+3x+4x+4`. Since 3x and 4x are like terms, we add them together and simplify to get:

`3x^2+7x+4`

And since we can't simplify any further, that's our answer!

Hope this helps :D

Answer 2

`3x^(2) +7x+4`

Explanation:

To simplify the double bracket, you can use a Foil method ( you can search it to see detailed explanation )

(3x + 4 )( x + 1)

`3x^(2) +7x+4`

Hope that is right, ask any questions if unsure :)