Which binomial below is a factor of the polynomial 3a2+6a-2a-4?
2 answers:
One may note you're kinda missing the factors provided, but anyhow, it factors to
![\bf 3a^2+6a-2a-4\implies (3a^2+6a)-(2a+4) \\\\\\ 3a(a+2)~~-~~2(a+2)\implies \stackrel{common~factor}{(a+2)}[3a-2]](https://tex.z-dn.net/?f=%5Cbf%203a%5E2%2B6a-2a-4%5Cimplies%20%283a%5E2%2B6a%29-%282a%2B4%29%0A%5C%5C%5C%5C%5C%5C%0A3a%28a%2B2%29~~-~~2%28a%2B2%29%5Cimplies%20%5Cstackrel%7Bcommon~factor%7D%7B%28a%2B2%29%7D%5B3a-2%5D)
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I think it’s the Law of Syllogism.
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