SOLUTION: factoring trinomials 2x²+5x+2

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Question 27439: factoring trinomials
2x²+5x+2
Answer by prabhjyot(165) About Me  (Show Source):
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2x²+5x+2
comparing the equation with standard quadratic equationax%5E2%2Bbx%2Bc+
a = 2
b = 5
c = 2

Discriminant: b%5E2-4ac+=+5%5E+2-4%2A2%2A2+=+9+
Discriminant (9) is greater than zero. The equation has two solutions.
x=sqrt%28+b%5E2-4%2Aa%2Ac+%29%2F%282%2Aa%29+
x=+sqrt%285%5E2-4%2A2%2A2%29%2F+%282%2A2%29
x1,2 = (-5 ± 3) / 2*2
or
x1 = -2 / 4 = -1/2
x2 = -8 / 4 = -2
or
x1,2 = -0.5, -2

Equation factored:
2(x+0.5)(x+2)