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Factor completely 3x^2+2x-1

User Sash Sinha
by
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1 Answer

2 votes

Answer:

(3x - 1)(x + 1)

Explanation:

3x^2 factors into 3x and x.

-1 factors into -1 and 1.

Now we try different positions of 3x, x, -1, and 1 until we find the correct factorization.

Try: (3x - 1)(x + 1)

When you multiply the two factors together, the middle term will be 3x - x = 2x

Since 2x is the original middle term, this is the correct factorization.

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

User Noam Steiner
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4.6k points