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2x2 - 7x + 3
2x2 = (2x)(x)
Since the coefficient of x is negative (-7), then 3 = (-1)(-3).
Therefore,
2x2 - 7x + 3
= (2x - 1)(x - 3)
(x + 3)(x - 2)
That's not a trinomial, but it factors to x(x + 19)
x2-7x-44 (x-11)(x+4)
just make the trinomial easier to factor. ex -x2 + 3x + 4 ... most books don't teach you how to factor when a leading term is negative. ... so -1(x2- 3x- 4) ... now factor again ignoring the -1 -1(x - 4)(x + 1)
x(6x - 11)