please explain to me how to do it step by step with words. thanks
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You need to find two numbers whose product is 3 and whose sum is 4.
Those numbers are 3 and 1.
(x + 3)(x + 1)
If you look at the way that factored, you can multiply using the FOIL method (First, Outside, Inside, Last), and you will get
x^2 + x + 3x + 3
The two middle terms combine. That's why you need numbers whose sum is 4.
x^2 + 4x + 3
You will also notice that since the last terms are 3 and 1, that the last term when you multiply will be their product.
ANSWER
(x + 3)(x + 1)
Those numbers are 3 and 1.
(x + 3)(x + 1)
If you look at the way that factored, you can multiply using the FOIL method (First, Outside, Inside, Last), and you will get
x^2 + x + 3x + 3
The two middle terms combine. That's why you need numbers whose sum is 4.
x^2 + 4x + 3
You will also notice that since the last terms are 3 and 1, that the last term when you multiply will be their product.
ANSWER
(x + 3)(x + 1)