2x2 + 5x + 3 Notice the first term, which can be rewritten as 2x times x. With this in mind, you can write the equation as...
(2x + a)(x + b)
...where -a and -b are the answers.
You know that a times b is equal to 3.
With a little trial and error, you will find:
2x2 + 5x + 3 = (2x + 3)(x + 1)
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2x squared - 5x - 3 = (2x +1)(x -3)
6x2 + 5x - 6 is factored out to (2x + 3)(3x - 2).
2x squared minus 5x minus 3 factored is (2x+1)(x-3).
(5x-10)(x+3)
5x(x - 2)