Answer:
[tex][x - 1][x + 1][{x}^{2} + 4][/tex]
Step-by-step explanation:
Knowing that you have to find two numbers that when they differ to 3, they also multiply to −4, and those numbers are −1 and 4. So, after clearing that up, you will have this [since our degree of this polynomial function is 4]:
[tex][{x}^{2} - 1][{x}^{2} + 4][/tex]
Then, since [tex]{x}^{2} - 1[/tex] is factorable, you will get this:
[tex][x - 1][x + 1][/tex]
Finally, attach [tex][{x}^{2} + 4][/tex] to the partially factored polynomial to get this:
[tex][x - 1][x + 1][{x}^{2} + 4][/tex]
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