Now that we have an equation, we will able to perform a math magic. It figures out what two numbers are factors of the top number that add to equal the bottom number.
5
20
9
4
x2 + 9x + 20
It then creates a new factorable equation by turning the middle term into two separate terms.
5
20
9
4
x2 + 5x + 4x + 20
x2 + 9x + 20
What do we do with the new equation?
5
20
9
4
x2 + 5x + 4x + 20
x2 + 5x + 4x + 20
(x + 4)(x + 5)
x(x + 5) + 4(x + 5)
We split it into two groups and from there we can pull out what is in common with the terms in each.
(x2 + 5x) + (4x + 20)
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Wow!! That was super easy! Thanks-a-lot!
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