Factoring trinomials ( factor each completely. 1) 3p² – 2p - 5

factors (3p - 5) and (p + 1)

Step-by-step explanation:

The quadratic formula always "works" when you're looking to factor a quadratic expression or equation.  Here, the coefficients are a = 3, b = -2 and c = -5.  The discriminant is thus b²-4ac, which here is (-2)²-4(3)(-5), or 4+60, or 64.  Because this discriminant is positive, we know that the quadratic has two real, unequal roots.  These roots are:

        -(-2)±√64          2 ± 8

p = = = 10/6 and -1, or 5/3 and -1.

           2(3)                      6

These roots correspond to the factors (3p - 5) and (p + 1).

answer: b.

step-by-step explanation:

the y coordinate for point b is 0, and answer b is the only one with that y coordinate.

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