Question

Factor completely: 3x(x + 2) + 4(x + 2)

Answer 1

\[ \color{red}{number}(number) + \color{green}{number}(number)\implies(\color{red}{number} + \color{green}{number})(number)\]Think of the different colors as different numbers. Use the same thing here.

Answer 2

Let's pretend that the black number is (x + 2), the red one is 3x, and the green one is 4.

Answer 3

(x + 2)(3x + 4)

(x + 2)(12x)

(x + 2)(7x)

Prime

Answer 4

so is it b?

Answer 5

Nope.

Answer 6

Think about it again.

Answer 7

well is it c then? i think it makes sense

Answer 8

Woah no.\[ 3x(x + 2) + 4(x + 2) \implies (3x + 4)(x + 2)\]

Answer 9

ohhh that obvious haha thanks