SOLUTION: I cant seem to factor this problem correctly. I am unable to see what I am doing wrong. Could you show me how to solve this problem correctly? Factor the polynomial completely. {

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: I cant seem to factor this problem correctly. I am unable to see what I am doing wrong. Could you show me how to solve this problem correctly? Factor the polynomial completely. {      Log On


   

Question 92373: I cant seem to factor this problem correctly. I am unable to see what I am doing wrong. Could you show me how to solve this problem correctly?
Factor the polynomial completely.
-3x%5E2-10x%2B8
Answer by prabhjyot(165) About Me  (Show Source):
You can put this solution on YOUR website!
-3x%5E2-10%2B8+
Compare the above equation with standard quadratic equation ax%5E2%2Bbx%2Bc
we get
a = -3
b = -10
c = 8

Discriminant: b%5E2-4ac = +10%5E2%2B4%2A%28-3%29%2A8+=+196
Discriminant (196) is greater than zero. The equation has two solutions.
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
or

or
x1,2 = (10 ± 14) / 2*-3
or
x1 = 24 / -6 = -4
x2 = -4 / -6 = -2/-3=2/3=0.666
or
x1,2 = -4, 0.666

Equation factored:
-3(x+4)(x-0.666)