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2 votes
How to factor 2c^2-7c+3

User Dan Mic
by
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2 Answers

5 votes

2c^2-7c+3

You need 2 numbers that when added together equal the coefficient of c (-7 in this case), and when multiplied equal the product of the constant and coefficient of c^2 (this product is 2*3 = 6).
Two numbers that add to -7 and multiply to 6 are -6 and -1.

The middle term -7c becomes -6c - 1c.

2c^2-6c-1c+3 \\ 2c(c-3) -1(c-3) \\ (c-3)(2c-1)

User David Manheim
by
7.9k points
7 votes
(c - 3)(2c - 1) is the factored form

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