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How do you factor 3x^2 + 7x + 2

User Jcgrowley
by
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1 Answer

3 votes

Answer: (3x+1)(x+2)

Explanation:

You need to know what multiplied by what equals 2 and adds up to 7. You also need to know what multiplied by what equals 3x^2.

So since 3 has no other factor besides 1 we know that (3x+?)(x+?). 2 has no other factor besides 1 as well so you just need to know where to put the 2 and the 1.

(3x+1)(x+2) is the answer you can FOIL it to check it.

3x multiplied by x is 3x^2

3x multiplied by 2 is 6x

1 multiplied by x is just x or 1x

1 multiplied by 2 is 2

Add like terms: 6x+1x is 7x

So your final answer is (3x+1)(x+2)

User MontyThreeCard
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