Question

What is the product of (3x+5) and (x+4)

Answer 1

C

Explanation:

Each term in the second factor is multiplied by each term in the first factor, that is

3x(x + 4) + 5(x + 4) ← distribute both parenthesis

= 3x² + 12x + 5x + 20 ← collect like terms

= 3x² + 17x + 20

Answer 2

For this case we must find the product of
`(3x + 5) (x + 4)`

By definition, the distributive property states that:

`(a + b) (c + d) = ac + ad + bc + bd`

Then, according to the expression we have:

`3x ^ 2 + 12x + 5x + 20 =\\3x ^ 2 + 17x + 20`

Answer:

`3x ^ 2 + 17x + 20`

Option C