SOLUTION: Factor: 3y^2 + 10y + 7

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Question 96246: Factor:
3y^2 + 10y + 7
Answer by prabhjyot(165) About Me  (Show Source):
You can put this solution on YOUR website!
3y%5E2+%2B+10y+%2B+7
comparing the above equation with standard quadratic equation ay%5E2%2Bby%2Bc=0
we get
a = 3
b = 10
c = 7
Discriminant:+b%5E2-4ac+=+10+2-4%2A3%2A7+=+16+
Discriminant (16) is greater than zero. The equation has two solutions.
y+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
or
y+=+%28-10+%2B-+sqrt%28+10%5E2-4%2A3%2A7+%29%29%2F%282%2A3%29+

+y+=+%28-10+%2B-+4%29+%2F+%282%2A3%29+
or

+y1+=+-6+%2F+6+=+-1+
+y2+=+-14+%2F+6+=+-7%2F3+
Equation factored:
3%28x%2B1%29%28x%2B7%2F3%29+